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2690212320 = 253254739749
BaseRepresentation
bin1010000001011001…
…0110000111100000
320221111002221112100
42200112112013200
521002143243240
61122540330400
7123444266415
oct24026260740
96844087470
102690212320
111160611374
12630b43a00
1333b46a713
141b740610c
1510b29ee30
hexa05961e0

2690212320 has 144 divisors (see below), whose sum is σ = 9375912000. Its totient is φ = 702108672.

The previous prime is 2690212307. The next prime is 2690212339. The reversal of 2690212320 is 232120962.

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

It is a congruent number.

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, 47806 + ... + 87554.

It is an arithmetic number, because the mean of its divisors is an integer number (65110500).

Almost surely, 22690212320 is an apocalyptic number.

2690212320 is a gapful number since it is divisible by the number (20) 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 2690212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687956000).

2690212320 is an abundant number, since it is smaller than the sum of its proper divisors (6685699680).

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

2690212320 is a wasteful number, since it uses less digits than its factorization.

2690212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39817 (or 39806 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2690212320 is about 51867.2567232932. The cubic root of 2690212320 is about 1390.7920058957.

The spelling of 2690212320 in words is "two billion, six hundred ninety million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2820 3384 3760 4230 4512 5640 6768 7520 8460 11280 13536 16920 22560 33840 39749 67680 79498 119247 158996 198745 238494 317992 357741 397490 476988 596235 635984 715482 794980 953976 1192470 1271968 1430964 1589960 1788705 1868203 1907952 2384940 2861928 3179920 3577410 3736406 3815904 4769880 5604609 5723856 6359840 7154820 7472812 9341015 9539760 11209218 11447712 14309640 14945624 16813827 18682030 19079520 22418436 28023045 28619280 29891248 33627654 37364060 44836872 56046090 57238560 59782496 67255308 74728120 84069135 89673744 112092180 134510616 149456240 168138270 179347488 224184360 269021232 298912480 336276540 448368720 538042464 672553080 896737440 1345106160 2690212320