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151593240 = 23351379221
BaseRepresentation
bin10010000100100…
…10000100011000
3101120020201211110
421002102010120
5302301440430
623013100320
73520343541
oct1102220430
9346221743
10151593240
1178630277
12429276a0
1325539156
14161c14c8
15d4967b0
hex9092118

151593240 has 64 divisors (see below), whose sum is σ = 458148960. Its totient is φ = 40125440.

The previous prime is 151593227. The next prime is 151593269. The reversal of 151593240 is 42395151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151593198 and 151593207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11830 + ... + 21050.

Almost surely, 2151593240 is an apocalyptic number.

151593240 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 151593240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229074480).

151593240 is an abundant number, since it is smaller than the sum of its proper divisors (306555720).

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

151593240 is a wasteful number, since it uses less digits than its factorization.

151593240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 151593240 is about 12312.3206585924. The cubic root of 151593240 is about 533.2038522481.

The spelling of 151593240 in words is "one hundred fifty-one million, five hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 9221 16440 18442 27663 36884 46105 55326 73768 92210 110652 138315 184420 221304 276630 368840 553260 1106520 1263277 2526554 3789831 5053108 6316385 7579662 10106216 12632770 15159324 18949155 25265540 30318648 37898310 50531080 75796620 151593240