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150995840 = 2751311801
BaseRepresentation
bin10010000000000…
…00001110000000
3101112010101100112
421000000032000
5302123331330
622552210452
73512305052
oct1100001600
9345111315
10150995840
1178262456
1242699a28
132538a268
14160a78d2
15d3c9795
hex9000380

150995840 has 64 divisors (see below), whose sum is σ = 363931920. Its totient is φ = 59904000.

The previous prime is 150995821. The next prime is 150995843. The reversal of 150995840 is 48599051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150995843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82940 + ... + 84740.

Almost surely, 2150995840 is an apocalyptic number.

150995840 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 150995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181965960).

150995840 is an abundant number, since it is smaller than the sum of its proper divisors (212936080).

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

150995840 is a wasteful number, since it uses less digits than its factorization.

150995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 150995840 is about 12288.0364582792. The cubic root of 150995840 is about 532.5025119824.

The spelling of 150995840 in words is "one hundred fifty million, nine hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 640 655 1048 1310 1801 2096 2620 3602 4192 5240 7204 8384 9005 10480 14408 16768 18010 20960 28816 36020 41920 57632 72040 83840 115264 144080 230528 235931 288160 471862 576320 943724 1152640 1179655 1887448 2359310 3774896 4718620 7549792 9437240 15099584 18874480 30199168 37748960 75497920 150995840