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155152560 = 24354331493
BaseRepresentation
bin10010011111101…
…11000010110000
3101210221120022010
421033313002300
5304204340220
623221242520
73562526553
oct1117670260
9353846263
10155152560
117a641462
1243b63440
13261b4264
141686a69a
15d94b1e0
hex93f70b0

155152560 has 80 divisors (see below), whose sum is σ = 482406624. Its totient is φ = 41250816.

The previous prime is 155152559. The next prime is 155152561. The reversal of 155152560 is 65251551.

155152560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155152559) and next prime (155152561).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (155152561) 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, 103174 + ... + 104666.

Almost surely, 2155152560 is an apocalyptic number.

155152560 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 155152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241203312).

155152560 is an abundant number, since it is smaller than the sum of its proper divisors (327254064).

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

155152560 is a wasteful number, since it uses less digits than its factorization.

155152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The square root of 155152560 is about 12456.0250481444. The cubic root of 155152560 is about 537.3447151927.

The spelling of 155152560 in words is "one hundred fifty-five million, one hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 433 866 1299 1493 1732 2165 2598 2986 3464 4330 4479 5196 5972 6495 6928 7465 8660 8958 10392 11944 12990 14930 17320 17916 20784 22395 23888 25980 29860 34640 35832 44790 51960 59720 71664 89580 103920 119440 179160 358320 646469 1292938 1939407 2585876 3232345 3878814 5171752 6464690 7757628 9697035 10343504 12929380 15515256 19394070 25858760 31030512 38788140 51717520 77576280 155152560