Search a number
-
+
149702256 = 24341110501
BaseRepresentation
bin10001110110001…
…00011001110000
3101102200122220000
420323010121300
5301310433011
622504350000
73465306504
oct1073043160
9342618800
10149702256
1177559580
1242175300
1325026522
1415c4c304
15d221356
hex8ec4670

149702256 has 100 divisors (see below), whose sum is σ = 472716024. Its totient is φ = 45360000.

The previous prime is 149702251. The next prime is 149702261. The reversal of 149702256 is 652207941.

It is an interprime number because it is at equal distance from previous prime (149702251) and next prime (149702261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149702256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149702251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9006 + ... + 19506.

Almost surely, 2149702256 is an apocalyptic number.

149702256 is a gapful number since it is divisible by the number (16) 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 149702256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236358012).

149702256 is an abundant number, since it is smaller than the sum of its proper divisors (323013768).

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

149702256 is a wasteful number, since it uses less digits than its factorization.

149702256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 149702256 is about 12235.2873280524. The cubic root of 149702256 is about 530.9774959341.

The spelling of 149702256 in words is "one hundred forty-nine million, seven hundred two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 10501 14256 21002 31503 42004 63006 84008 94509 115511 126012 168016 189018 231022 252024 283527 346533 378036 462044 504048 567054 693066 756072 850581 924088 1039599 1134108 1386132 1512144 1701162 1848176 2079198 2268216 2772264 3118797 3402324 4158396 4536432 5544528 6237594 6804648 8316792 9356391 12475188 13609296 16633584 18712782 24950376 37425564 49900752 74851128 149702256