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156693040 = 2457733833
BaseRepresentation
bin10010101011011…
…11001000110000
3101220211211102221
421111233020300
5310103134130
623314250424
73611604010
oct1125571060
9356754387
10156693040
11804a3889
1244586a14
132660349a
1416b4bc40
15db5287a
hex956f230

156693040 has 80 divisors (see below), whose sum is σ = 422169408. Its totient is φ = 52973568.

The previous prime is 156693037. The next prime is 156693049. The reversal of 156693040 is 40396651.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 156692987 and 156693005.

It is not an unprimeable number, because it can be changed into a prime (156693049) 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 15 ways as a sum of consecutive naturals, for example, 38964 + ... + 42796.

Almost surely, 2156693040 is an apocalyptic number.

156693040 is a gapful number since it is divisible by the number (10) 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 156693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211084704).

156693040 is an abundant number, since it is smaller than the sum of its proper divisors (265476368).

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

156693040 is a wasteful number, since it uses less digits than its factorization.

156693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 156693040 is about 12517.7090555740. The cubic root of 156693040 is about 539.1172591828.

The spelling of 156693040 in words is "one hundred fifty-six million, six hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 3833 4088 5110 5840 7666 8176 10220 15332 19165 20440 26831 30664 38330 40880 53662 61328 76660 107324 134155 153320 214648 268310 279809 306640 429296 536620 559618 1073240 1119236 1399045 1958663 2146480 2238472 2798090 3917326 4476944 5596180 7834652 9793315 11192360 15669304 19586630 22384720 31338608 39173260 78346520 156693040