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1995236640 = 253257917539
BaseRepresentation
bin111011011101100…
…1110010100100000
312011001101112010100
41312323032110200
513041240033030
6525552502400
7100305142305
oct16673162440
95131345110
101995236640
11934293901
1247824aa00
1325a49a1c7
1414cdb90ac
15ba271360
hex76ece520

1995236640 has 144 divisors (see below), whose sum is σ = 6895324800. Its totient is φ = 525298176.

The previous prime is 1995236629. The next prime is 1995236651. The reversal of 1995236640 is 466325991.

1995236640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1995236629) and next prime (1995236651).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104991 + ... + 122529.

It is an arithmetic number, because the mean of its divisors is an integer number (47884200).

Almost surely, 21995236640 is an apocalyptic number.

1995236640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1995236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447662400).

1995236640 is an abundant number, since it is smaller than the sum of its proper divisors (4900088160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1995236640 is a wasteful number, since it uses less digits than its factorization.

1995236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17639 (or 17628 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1995236640 is about 44668.0718186939. The cubic root of 1995236640 is about 1258.9200118343.

The spelling of 1995236640 in words is "one billion, nine hundred ninety-five million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 79 80 90 96 120 144 158 160 180 237 240 288 316 360 395 474 480 632 711 720 790 948 1185 1264 1422 1440 1580 1896 2370 2528 2844 3160 3555 3792 4740 5688 6320 7110 7584 9480 11376 12640 14220 17539 18960 22752 28440 35078 37920 52617 56880 70156 87695 105234 113760 140312 157851 175390 210468 263085 280624 315702 350780 420936 526170 561248 631404 701560 789255 841872 1052340 1262808 1385581 1403120 1578510 1683744 2104680 2525616 2771162 2806240 3157020 4156743 4209360 5051232 5542324 6314040 6927905 8313486 8418720 11084648 12470229 12628080 13855810 16626972 20783715 22169296 24940458 25256160 27711620 33253944 41567430 44338592 49880916 55423240 62351145 66507888 83134860 99761832 110846480 124702290 133015776 166269720 199523664 221692960 249404580 332539440 399047328 498809160 665078880 997618320 1995236640