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150697120 = 2557197683
BaseRepresentation
bin10001111101101…
…11010010100000
3101111120012120211
420332313102200
5302034301440
622541543504
73506622130
oct1076672240
9344505524
10150697120
1178078a82
1242574b94
13252b42c2
141602aac0
15d36aeea
hex8fb74a0

150697120 has 96 divisors (see below), whose sum is σ = 409546368. Its totient is φ = 51330048.

The previous prime is 150697117. The next prime is 150697147. The reversal of 150697120 is 21796051.

150697120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220299 + ... + 220981.

It is an arithmetic number, because the mean of its divisors is an integer number (4266108).

Almost surely, 2150697120 is an apocalyptic number.

150697120 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 150697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204773184).

150697120 is an abundant number, since it is smaller than the sum of its proper divisors (258849248).

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

150697120 is a wasteful number, since it uses less digits than its factorization.

150697120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 150697120 is about 12275.8755288574. The cubic root of 150697120 is about 532.1511244584.

The spelling of 150697120 in words is "one hundred fifty million, six hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 197 224 280 394 560 683 788 985 1120 1366 1379 1576 1970 2732 2758 3152 3415 3940 4781 5464 5516 6304 6830 6895 7880 9562 10928 11032 13660 13790 15760 19124 21856 22064 23905 27320 27580 31520 38248 44128 47810 54640 55160 76496 95620 109280 110320 134551 152992 191240 220640 269102 382480 538204 672755 764960 941857 1076408 1345510 1883714 2152816 2691020 3767428 4305632 4709285 5382040 7534856 9418570 10764080 15069712 18837140 21528160 30139424 37674280 75348560 150697120