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149116296 = 2337899973
BaseRepresentation
bin10001110001101…
…01010110001000
3101101120220002210
420320311112020
5301133210141
622444025120
73460316250
oct1070652610
9341526083
10149116296
117719930a
1241b321a0
1324b7c8c4
1415b38960
15d157916
hex8e35588

149116296 has 64 divisors (see below), whose sum is σ = 430876800. Its totient is φ = 42121728.

The previous prime is 149116277. The next prime is 149116301. The reversal of 149116296 is 692611941.

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, 9966 + ... + 19938.

It is an arithmetic number, because the mean of its divisors is an integer number (6732450).

Almost surely, 2149116296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149116296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215438400).

149116296 is an abundant number, since it is smaller than the sum of its proper divisors (281760504).

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

149116296 is a wasteful number, since it uses less digits than its factorization.

149116296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078 (or 10074 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 149116296 is about 12211.3183563447. The cubic root of 149116296 is about 530.2838114446.

The spelling of 149116296 in words is "one hundred forty-nine million, one hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 7476 9973 14952 19946 29919 39892 59838 69811 79784 119676 139622 209433 239352 279244 418866 558488 837732 887597 1675464 1775194 2662791 3550388 5325582 6213179 7100776 10651164 12426358 18639537 21302328 24852716 37279074 49705432 74558148 149116296