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2154797920 = 255112814357
BaseRepresentation
bin1000000001101111…
…1001101101100000
312120011122002001101
42000123321231200
513403112013140
6553452444144
7104253323452
oct20033715540
95504562041
102154797920
11a06366630
12501779654
13284566072
141662722d2
15c928d99a
hex806f9b60

2154797920 has 96 divisors (see below), whose sum is σ = 5574544416. Its totient is φ = 780595200.

The previous prime is 2154797899. The next prime is 2154797959. The reversal of 2154797920 is 297974512.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492382 + ... + 496738.

It is an arithmetic number, because the mean of its divisors is an integer number (58068171).

Almost surely, 22154797920 is an apocalyptic number.

2154797920 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 2154797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787272208).

2154797920 is an abundant number, since it is smaller than the sum of its proper divisors (3419746496).

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

2154797920 is a wasteful number, since it uses less digits than its factorization.

2154797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 2154797920 is about 46419.8009474405. The cubic root of 2154797920 is about 1291.6222444845.

The spelling of 2154797920 in words is "two billion, one hundred fifty-four million, seven hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 281 352 440 562 880 1124 1405 1760 2248 2810 3091 4357 4496 5620 6182 8714 8992 11240 12364 15455 17428 21785 22480 24728 30910 34856 43570 44960 47927 49456 61820 69712 87140 95854 98912 123640 139424 174280 191708 239635 247280 348560 383416 479270 494560 697120 766832 958540 1224317 1533664 1917080 2448634 3834160 4897268 6121585 7668320 9794536 12243170 13467487 19589072 24486340 26934974 39178144 48972680 53869948 67337435 97945360 107739896 134674870 195890720 215479792 269349740 430959584 538699480 1077398960 2154797920