Search a number
-
+
153700352 = 2111323251
BaseRepresentation
bin10010010100101…
…00100000000000
3101201012210020122
421022110200000
5303321402402
623130155412
73544300661
oct1112244000
9351183218
10153700352
117983a393
1243582b68
1325ac6270
14165ad368
15d760ca2
hex9294800

153700352 has 96 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 67584000.

The previous prime is 153700307. The next prime is 153700357. The reversal of 153700352 is 253007351.

153700352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (153700357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612227 + ... + 612477.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2153700352 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 153700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

153700352 is an abundant number, since it is smaller than the sum of its proper divisors (193031488).

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

153700352 is a wasteful number, since it uses less digits than its factorization.

153700352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 153700352 is about 12397.5946054063. The cubic root of 153700352 is about 535.6629647717.

The spelling of 153700352 in words is "one hundred fifty-three million, seven hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 251 256 299 368 416 502 512 598 736 832 1004 1024 1196 1472 1664 2008 2048 2392 2944 3263 3328 4016 4784 5773 5888 6526 6656 8032 9568 11546 11776 13052 13312 16064 19136 23092 23552 26104 26624 32128 38272 46184 47104 52208 64256 75049 76544 92368 104416 128512 150098 153088 184736 208832 257024 300196 306176 369472 417664 514048 600392 612352 738944 835328 1200784 1477888 1670656 2401568 2955776 3341312 4803136 5911552 6682624 9606272 11823104 19212544 38425088 76850176 153700352