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149869104 = 243711234143
BaseRepresentation
bin10001110111011…
…01001000110000
3101110000010202120
420323231020300
5301331302404
622512114240
73466603110
oct1073551060
9343003676
10149869104
1177662970
1242235980
1325084458
1415c93040
15d2559d9
hex8eed230

149869104 has 320 divisors, whose sum is σ = 527966208. Its totient is φ = 35481600.

The previous prime is 149869099. The next prime is 149869133. The reversal of 149869104 is 401968941.

149869104 = T280 + T281 + ... + T972.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3485307 + ... + 3485349.

Almost surely, 2149869104 is an apocalyptic number.

149869104 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 149869104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104).

149869104 is an abundant number, since it is smaller than the sum of its proper divisors (378097104).

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

149869104 is a wasteful number, since it uses less digits than its factorization.

149869104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 149869104 is about 12242.1037407792. The cubic root of 149869104 is about 531.1746865508.

It can be divided in two parts, 14986 and 9104, that added together give a triangular number (24090 = T219).

The spelling of 149869104 in words is "one hundred forty-nine million, eight hundred sixty-nine thousand, one hundred four".