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2920700064 = 253191601261
BaseRepresentation
bin1010111000010110…
…0101100010100000
321112112210221021110
42232011211202200
521440144400224
61201452423320
7132243353352
oct25605454240
97475727243
102920700064
111269728207
12696177b40
1337713a9b9
141d9c830d2
1512162c929
hexae1658a0

2920700064 has 48 divisors (see below), whose sum is σ = 8070360480. Its totient is φ = 922325760.

The previous prime is 2920700063. The next prime is 2920700071. The reversal of 2920700064 is 4600070292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2920700063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 798807 + ... + 802454.

It is an arithmetic number, because the mean of its divisors is an integer number (168132510).

Almost surely, 22920700064 is an apocalyptic number.

2920700064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2920700064 is an abundant number, since it is smaller than the sum of its proper divisors (5149660416).

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

2920700064 is a wasteful number, since it uses less digits than its factorization.

2920700064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601293 (or 1601285 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2920700064 is about 54043.5015889977. The cubic root of 2920700064 is about 1429.4281156593.

The spelling of 2920700064 in words is "two billion, nine hundred twenty million, seven hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 1601261 3202522 4803783 6405044 9607566 12810088 19215132 25620176 30423959 38430264 51240352 60847918 76860528 91271877 121695836 153721056 182543754 243391672 365087508 486783344 730175016 973566688 1460350032 2920700064