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152275840 = 2752291039
BaseRepresentation
bin10010001001110…
…00101110000000
3101121112102011221
421010320232000
5302440311330
623035444424
73526215613
oct1104705600
9347472157
10152275840
1178a57102
1242bb6714
1325717a62
141631c17a
15d57db7a
hex9138b80

152275840 has 64 divisors (see below), whose sum is σ = 365976000. Its totient is φ = 60585984.

The previous prime is 152275807. The next prime is 152275859. The reversal of 152275840 is 48572251.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 152275796 and 152275805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146041 + ... + 147079.

It is an arithmetic number, because the mean of its divisors is an integer number (5718375).

Almost surely, 2152275840 is an apocalyptic number.

152275840 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 152275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988000).

152275840 is an abundant number, since it is smaller than the sum of its proper divisors (213700160).

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

152275840 is a wasteful number, since it uses less digits than its factorization.

152275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 152275840 is about 12340.0097244694. The cubic root of 152275840 is about 534.0029644428.

The spelling of 152275840 in words is "one hundred fifty-two million, two hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 320 458 640 916 1039 1145 1832 2078 2290 3664 4156 4580 5195 7328 8312 9160 10390 14656 16624 18320 20780 29312 33248 36640 41560 66496 73280 83120 132992 146560 166240 237931 332480 475862 664960 951724 1189655 1903448 2379310 3806896 4758620 7613792 9517240 15227584 19034480 30455168 38068960 76137920 152275840