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1520077068 = 22323710111299
BaseRepresentation
bin101101010011010…
…1000100100001100
310220221021220201200
41122212220210030
511103114431233
6410500305500
752445304366
oct13246504414
93827256650
101520077068
11710053444
123650a2290
131b2c017b3
14105c4bd36
158d6b3313
hex5a9a890c

1520077068 has 72 divisors (see below), whose sum is σ = 3985690800. Its totient is φ = 488073600.

The previous prime is 1520077063. The next prime is 1520077081. The reversal of 1520077068 is 8607700251.

1520077068 is a `hidden beast` number, since 1 + 520 + 0 + 7 + 70 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1520077063) 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 23 ways as a sum of consecutive naturals, for example, 128883 + ... + 140181.

Almost surely, 21520077068 is an apocalyptic number.

1520077068 is a gapful number since it is divisible by the number (18) 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 1520077068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992845400).

1520077068 is an abundant number, since it is smaller than the sum of its proper divisors (2465613732).

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

1520077068 is a wasteful number, since it uses less digits than its factorization.

1520077068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11447 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1520077068 is about 38988.1657429533. The cubic root of 1520077068 is about 1149.7988477413.

The spelling of 1520077068 in words is "one billion, five hundred twenty million, seventy-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 11299 14948 22422 22598 33633 33897 44844 45196 67266 67794 101691 134532 135588 203382 406764 418063 836126 1141199 1254189 1672252 2282398 2508378 3423597 3762567 4564796 5016756 6847194 7525134 10270791 13694388 15050268 20541582 41083164 42224363 84448726 126673089 168897452 253346178 380019267 506692356 760038534 1520077068