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149692704 = 2537337661
BaseRepresentation
bin10001110110000…
…10000100100000
3101102200011210020
420323002010200
5301310131304
622504233440
73465236610
oct1073020440
9342604706
10149692704
1177552387
124216b880
1325022085
1415c48a40
15d21d5d9
hex8ec2120

149692704 has 96 divisors (see below), whose sum is σ = 451092096. Its totient is φ = 42577920.

The previous prime is 149692687. The next prime is 149692709. The reversal of 149692704 is 407296941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149692709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226134 + ... + 226794.

It is an arithmetic number, because the mean of its divisors is an integer number (4698876).

Almost surely, 2149692704 is an apocalyptic number.

149692704 is a gapful number since it is divisible by the number (14) 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 149692704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225546048).

149692704 is an abundant number, since it is smaller than the sum of its proper divisors (301399392).

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

149692704 is a wasteful number, since it uses less digits than its factorization.

149692704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 149692704 is about 12234.8969754551. The cubic root of 149692704 is about 530.9662023949.

The spelling of 149692704 in words is "one hundred forty-nine million, six hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 337 661 672 674 1011 1322 1348 1983 2022 2359 2644 2696 3966 4044 4627 4718 5288 5392 7077 7932 8088 9254 9436 10576 10784 13881 14154 15864 16176 18508 18872 21152 27762 28308 31728 32352 37016 37744 55524 56616 63456 74032 75488 111048 113232 148064 222096 222757 226464 444192 445514 668271 891028 1336542 1559299 1782056 2673084 3118598 3564112 4677897 5346168 6237196 7128224 9355794 10692336 12474392 18711588 21384672 24948784 37423176 49897568 74846352 149692704