Search a number
-
+
870133374 = 233112336287
BaseRepresentation
bin110011110111010…
…010111001111110
32020122022100121000
4303313102321332
53240223231444
6222201551130
730364003665
oct6367227176
92218270530
10870133374
114071930a0
122034a54a6
1310b36a326
14837c3ddc
15515cc469
hex33dd2e7e

870133374 has 64 divisors (see below), whose sum is σ = 2118804480. Its totient is φ = 262503360.

The previous prime is 870133349. The next prime is 870133379. The reversal of 870133374 is 473331078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870133379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135259 + ... + 141545.

It is an arithmetic number, because the mean of its divisors is an integer number (33106320).

Almost surely, 2870133374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870133374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059402240).

870133374 is an abundant number, since it is smaller than the sum of its proper divisors (1248671106).

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

870133374 is a wasteful number, since it uses less digits than its factorization.

870133374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 870133374 is about 29498.0232219042. The cubic root of 870133374 is about 954.6890516585.

The spelling of 870133374 in words is "eight hundred seventy million, one hundred thirty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 233 297 466 594 699 1398 2097 2563 4194 5126 6287 6291 7689 12574 12582 15378 18861 23067 37722 46134 56583 69157 69201 113166 138314 138402 169749 207471 339498 414942 622413 1244826 1464871 1867239 2929742 3734478 4394613 8789226 13183839 16113581 26367678 32227162 39551517 48340743 79103034 96681486 145022229 290044458 435066687 870133374