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150057240 = 23351916547
BaseRepresentation
bin10001111000110…
…11000100011000
3101110100200211120
420330123010120
5301403312430
622520125240
73501315444
oct1074330430
9343320746
10150057240
1177781253
1242306820
132511bc88
1415d01824
15d291610
hex8f1b118

150057240 has 64 divisors (see below), whose sum is σ = 452597760. Its totient is φ = 39799680.

The previous prime is 150057239. The next prime is 150057247. The reversal of 150057240 is 42750051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150057240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150057247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19647 + ... + 26193.

It is an arithmetic number, because the mean of its divisors is an integer number (7071840).

Almost surely, 2150057240 is an apocalyptic number.

150057240 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 150057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226298880).

150057240 is an abundant number, since it is smaller than the sum of its proper divisors (302540520).

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

150057240 is a wasteful number, since it uses less digits than its factorization.

150057240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 150057240 is about 12249.7853042411. The cubic root of 150057240 is about 531.3968610813.

The spelling of 150057240 in words is "one hundred fifty million, fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 6547 7640 11460 13094 19641 22920 26188 32735 39282 52376 65470 78564 98205 130940 157128 196410 261880 392820 785640 1250477 2500954 3751431 5001908 6252385 7502862 10003816 12504770 15005724 18757155 25009540 30011448 37514310 50019080 75028620 150057240