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3994126560 = 253252773699
BaseRepresentation
bin1110111000010001…
…1000100011100000
3101022100122122121100
43232010120203200
531134444022220
61500155554400
7200656341564
oct35604304340
911270578540
103994126560
11176a642446
1293575ba00
134b86461c8
1429c6656a4
151859b4d90
hexee1188e0

3994126560 has 72 divisors (see below), whose sum is σ = 13629961800. Its totient is φ = 1065100032.

The previous prime is 3994126547. The next prime is 3994126613. The reversal of 3994126560 is 656214993.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1385410 + ... + 1388289.

It is an arithmetic number, because the mean of its divisors is an integer number (189305025).

Almost surely, 23994126560 is an apocalyptic number.

3994126560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3994126560 is an abundant number, since it is smaller than the sum of its proper divisors (9635835240).

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

3994126560 is a wasteful number, since it uses less digits than its factorization.

3994126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773720 (or 2773709 counting only the distinct ones).

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

The square root of 3994126560 is about 63199.1025252733. The cubic root of 3994126560 is about 1586.6237126364.

The spelling of 3994126560 in words is "three billion, nine hundred ninety-four million, one hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2773699 5547398 8321097 11094796 13868495 16642194 22189592 24963291 27736990 33284388 41605485 44379184 49926582 55473980 66568776 83210970 88758368 99853164 110947960 124816455 133137552 166421940 199706328 221895920 249632910 266275104 332843880 399412656 443791840 499265820 665687760 798825312 998531640 1331375520 1997063280 3994126560