Search a number
-
+
13470696 = 23321943229
BaseRepresentation
bin110011011000…
…101111101000
3221100101022200
4303120233220
511422030241
61200420200
7222333111
oct63305750
927311280
1013470696
117670808
124617660
132a38535
141b09208
1512b14b6
hexcd8be8

13470696 has 96 divisors (see below), whose sum is σ = 39468000. Its totient is φ = 4136832.

The previous prime is 13470689. The next prime is 13470697. The reversal of 13470696 is 69607431.

It is a super-3 number, since 3×134706963 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 13470696.

It is not an unprimeable number, because it can be changed into a prime (13470697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58710 + ... + 58938.

It is an arithmetic number, because the mean of its divisors is an integer number (411125).

Almost surely, 213470696 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 13470696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19734000).

13470696 is an abundant number, since it is smaller than the sum of its proper divisors (25997304).

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

13470696 is a wasteful number, since it uses less digits than its factorization.

13470696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13470696 is about 3670.2446784922. The cubic root of 13470696 is about 237.9377470587.

The spelling of 13470696 in words is "thirteen million, four hundred seventy thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 43 57 72 76 86 114 129 152 171 172 228 229 258 342 344 387 456 458 516 684 687 774 817 916 1032 1368 1374 1548 1634 1832 2061 2451 2748 3096 3268 4122 4351 4902 5496 6536 7353 8244 8702 9804 9847 13053 14706 16488 17404 19608 19694 26106 29412 29541 34808 39159 39388 52212 58824 59082 78318 78776 88623 104424 118164 156636 177246 187093 236328 313272 354492 374186 561279 708984 748372 1122558 1496744 1683837 2245116 3367674 4490232 6735348 13470696