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155350400 = 2752431129
BaseRepresentation
bin10010100001001…
…11010110000000
3101211022121200112
421100213112000
5304232203100
623225410452
73564312422
oct1120472600
9354277615
10155350400
117a767067
1244039a28
132625331a
14168bc812
15d989b35
hex9427580

155350400 has 96 divisors (see below), whose sum is σ = 393036600. Its totient is φ = 60641280.

The previous prime is 155350381. The next prime is 155350417. The reversal of 155350400 is 4053551.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137036 + ... + 138164.

Almost surely, 2155350400 is an apocalyptic number.

155350400 is a gapful number since it is divisible by the number (10) 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 155350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196518300).

155350400 is an abundant number, since it is smaller than the sum of its proper divisors (237686200).

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

155350400 is a wasteful number, since it uses less digits than its factorization.

155350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 155350400 is about 12463.9640564308. The cubic root of 155350400 is about 537.5730133373.

The spelling of 155350400 in words is "one hundred fifty-five million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 320 344 400 430 640 688 800 860 1075 1129 1376 1600 1720 2150 2258 2752 3200 3440 4300 4516 5504 5645 6880 8600 9032 11290 13760 17200 18064 22580 27520 28225 34400 36128 45160 48547 56450 68800 72256 90320 97094 112900 137600 144512 180640 194188 225800 242735 361280 388376 451600 485470 722560 776752 903200 970940 1213675 1553504 1806400 1941880 2427350 3107008 3612800 3883760 4854700 6214016 7767520 9709400 15535040 19418800 31070080 38837600 77675200 155350400