Search a number
-
+
153035256 = 233113715667
BaseRepresentation
bin10010001111100…
…10000111111000
3101122221222220110
421013302013320
5303134112011
623104024320
73535530633
oct1107620770
9348858813
10153035256
1179425720
12433020a0
132592260a
1416478c1a
15d67dba6
hex91f21f8

153035256 has 64 divisors (see below), whose sum is σ = 428676480. Its totient is φ = 45118080.

The previous prime is 153035249. The next prime is 153035263. The reversal of 153035256 is 652530351.

153035256 is digitally balanced in base 2, because in such base 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 (153035249) and next prime (153035263).

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, 1935 + ... + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (6698070).

Almost surely, 2153035256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153035256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214338240).

153035256 is an abundant number, since it is smaller than the sum of its proper divisors (275641224).

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

153035256 is a wasteful number, since it uses less digits than its factorization.

153035256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 153035256 is about 12370.7419340959. The cubic root of 153035256 is about 534.8892028979.

The spelling of 153035256 in words is "one hundred fifty-three million, thirty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 15667 31334 47001 62668 94002 125336 172337 188004 344674 376008 517011 579679 689348 1034022 1159358 1378696 1739037 2068044 2318716 3478074 4136088 4637432 6376469 6956148 12752938 13912296 19129407 25505876 38258814 51011752 76517628 153035256