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1420402360 = 2351317413919
BaseRepresentation
bin101010010101001…
…1001111010111000
310122222201220201211
41110222121322320
510402110333420
6352540052504
750125135516
oct12452317270
93588656654
101420402360
11669864353
12337834134
13198373090
14d69034b6
1584a74e5a
hex54a99eb8

1420402360 has 128 divisors (see below), whose sum is σ = 3734035200. Its totient is φ = 481443840.

The previous prime is 1420402351. The next prime is 1420402363. The reversal of 1420402360 is 632040241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420402363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360481 + ... + 364399.

It is an arithmetic number, because the mean of its divisors is an integer number (29172150).

Almost surely, 21420402360 is an apocalyptic number.

1420402360 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 1420402360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867017600).

1420402360 is an abundant number, since it is smaller than the sum of its proper divisors (2313632840).

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

1420402360 is a wasteful number, since it uses less digits than its factorization.

1420402360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1420402360 is about 37688.2257475727. The cubic root of 1420402360 is about 1124.0970163175.

It can be divided in two parts, 142040 and 2360, that added together give a square (144400 = 3802).

The spelling of 1420402360 in words is "one billion, four hundred twenty million, four hundred two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 41 52 65 68 82 85 104 130 136 164 170 205 221 260 328 340 410 442 520 533 680 697 820 884 1066 1105 1394 1640 1768 2132 2210 2665 2788 3485 3919 4264 4420 5330 5576 6970 7838 8840 9061 10660 13940 15676 18122 19595 21320 27880 31352 36244 39190 45305 50947 66623 72488 78380 90610 101894 133246 156760 160679 181220 203788 254735 266492 321358 333115 362440 407576 509470 532984 642716 666230 803395 866099 1018940 1285432 1332460 1606790 1732198 2037880 2088827 2664920 2731543 3213580 3464396 4177654 4330495 5463086 6427160 6928792 8355308 8660990 10444135 10926172 13657715 16710616 17321980 20888270 21852344 27315430 34643960 35510059 41776540 54630860 71020118 83553080 109261720 142040236 177550295 284080472 355100590 710201180 1420402360