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152381400 = 23352253969
BaseRepresentation
bin10010001010100…
…10011111011000
3101121201202222120
421011102133120
5303002201100
623042021240
73530135433
oct1105223730
9347652876
10152381400
1179019446
1243047820
1325753b12
141634881a
15d5a00a0
hex91527d8

152381400 has 48 divisors (see below), whose sum is σ = 472384200. Its totient is φ = 40634880.

The previous prime is 152381377. The next prime is 152381419. The reversal of 152381400 is 4183251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 126385 + ... + 127584.

Almost surely, 2152381400 is an apocalyptic number.

152381400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152381400 is an abundant number, since it is smaller than the sum of its proper divisors (320002800).

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

152381400 is a wasteful number, since it uses less digits than its factorization.

152381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253988 (or 253979 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 152381400 is about 12344.2861275977. The cubic root of 152381400 is about 534.1263290171.

The spelling of 152381400 in words is "one hundred fifty-two million, three hundred eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 253969 507938 761907 1015876 1269845 1523814 2031752 2539690 3047628 3809535 5079380 6095256 6349225 7619070 10158760 12698450 15238140 19047675 25396900 30476280 38095350 50793800 76190700 152381400