Search a number
-
+
151154412 = 223176711059
BaseRepresentation
bin10010000001001…
…10111011101100
3101112102102212120
421000212323230
5302143420122
622555432540
73513535263
oct1100467354
9345372776
10151154412
1178360602
1242755750
13254144a6
14161095da
15d40b75c
hex9026eec

151154412 has 48 divisors (see below), whose sum is σ = 379048320. Its totient is φ = 46708992.

The previous prime is 151154411. The next prime is 151154431. The reversal of 151154412 is 214451151.

It is not an unprimeable number, because it can be changed into a prime (151154411) 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, 8139 + ... + 19197.

It is an arithmetic number, because the mean of its divisors is an integer number (7896840).

Almost surely, 2151154412 is an apocalyptic number.

151154412 is a gapful number since it is divisible by the number (12) 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 151154412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189524160).

151154412 is an abundant number, since it is smaller than the sum of its proper divisors (227893908).

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

151154412 is a wasteful number, since it uses less digits than its factorization.

151154412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150 (or 11148 counting only the distinct ones).

The product of its digits is 800, while the sum is 24.

The square root of 151154412 is about 12294.4870572139. The cubic root of 151154412 is about 532.6888536429.

The spelling of 151154412 in words is "one hundred fifty-one million, one hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 6834 11059 13668 22118 33177 44236 66354 132708 188003 376006 564009 740953 752012 1128018 1481906 2222859 2256036 2963812 4445718 8891436 12596201 25192402 37788603 50384804 75577206 151154412