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70006332 = 223115989101
BaseRepresentation
bin1000010110000…
…11011000111100
311212201200122010
410023003120330
5120410200312
610540251220
71510021044
oct413033074
9155650563
1070006332
1136575880
121b540b10
1311671686
149424724
15622c93c
hex42c363c

70006332 has 96 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 20416000.

The previous prime is 70006327. The next prime is 70006367. The reversal of 70006332 is 23360007.

It is a junction number, because it is equal to n+sod(n) for n = 70006299 and 70006308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693082 + ... + 693182.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 270006332 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 70006332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

70006332 is an abundant number, since it is smaller than the sum of its proper divisors (115062468).

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

70006332 is a wasteful number, since it uses less digits than its factorization.

70006332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 70006332 is about 8366.9786661614. The cubic root of 70006332 is about 412.1409562626.

Adding to 70006332 its reverse (23360007), we get a palindrome (93366339).

The spelling of 70006332 in words is "seventy million, six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 89 101 118 132 177 178 202 236 267 303 354 356 404 534 606 649 708 979 1068 1111 1212 1298 1947 1958 2222 2596 2937 3333 3894 3916 4444 5251 5874 5959 6666 7788 8989 10502 11748 11918 13332 15753 17877 17978 21004 23836 26967 31506 35754 35956 53934 57761 63012 65549 71508 98879 107868 115522 131098 173283 196647 197758 231044 262196 296637 346566 393294 395516 530351 593274 693132 786588 1060702 1186548 1591053 2121404 3182106 5833861 6364212 11667722 17501583 23335444 35003166 70006332