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2120049936 = 243412792
BaseRepresentation
bin111111001011101…
…0110010100010000
312110202020200210000
41332113112110100
513320213044221
6550212010000
7103352061414
oct17627262420
95422220700
102120049936
11998792994
124b2000900
1327a2bac24
141617c8d44
15c61c7e26
hex7e5d6510

2120049936 has 75 divisors (see below), whose sum is σ = 6140840871. Its totient is φ = 706130784.

The previous prime is 2120049913. The next prime is 2120049947. The reversal of 2120049936 is 6399400212.

The square root of 2120049936 is 46044.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×21200499362 = 8989223462267208192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2120049936.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1656945 + ... + 1658223.

Almost surely, 22120049936 is an apocalyptic number.

2120049936 is the 46044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120049936

2120049936 is an abundant number, since it is smaller than the sum of its proper divisors (4020790935).

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

2120049936 is an frugal number, since it uses more digits than its factorization.

2120049936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 2120049936 is about 1284.6417440117.

Multiplying 2120049936 by its sum of digits (36), we get a square (76321797696 = 2762642).

2120049936 divided by its sum of digits (36) gives a square (58890276 = 76742).

The spelling of 2120049936 in words is "two billion, one hundred twenty million, forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1279 1296 2558 3837 5116 7674 10232 11511 15348 20464 23022 30696 34533 46044 61392 69066 92088 103599 138132 184176 207198 276264 414396 552528 828792 1635841 1657584 3271682 4907523 6543364 9815046 13086728 14722569 19630092 26173456 29445138 39260184 44167707 58890276 78520368 88335414 117780552 132503121 176670828 235561104 265006242 353341656 530012484 706683312 1060024968 2120049936