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706291104 = 253193112491
BaseRepresentation
bin101010000110010…
…010010110100000
31211020000022020210
4222012102112200
52421302303404
6154030134120
723334242511
oct5206222640
91736008223
10706291104
11332756a62
12178651340
13b3432a3c
1469b34a08
1542016689
hex2a1925a0

706291104 has 96 divisors (see below), whose sum is σ = 2014709760. Its totient is φ = 215827200.

The previous prime is 706291097. The next prime is 706291111. The reversal of 706291104 is 401192607.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (706291097) and next prime (706291111).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50299 + ... + 62789.

It is an arithmetic number, because the mean of its divisors is an integer number (20986560).

Almost surely, 2706291104 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 706291104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007354880).

706291104 is an abundant number, since it is smaller than the sum of its proper divisors (1308418656).

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

706291104 is a wasteful number, since it uses less digits than its factorization.

706291104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 706291104 is about 26576.1378683962. The cubic root of 706291104 is about 890.5560233832.

The spelling of 706291104 in words is "seven hundred six million, two hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 12491 14136 18848 24982 28272 37473 49964 56544 74946 99928 149892 199856 237329 299784 387221 399712 474658 599568 711987 774442 949316 1161663 1199136 1423974 1548884 1898632 2323326 2847948 3097768 3797264 4646652 5695896 6195536 7357199 7594528 9293304 11391792 12391072 14714398 18586608 22071597 22783584 29428796 37173216 44143194 58857592 88286388 117715184 176572776 235430368 353145552 706291104