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70279664 = 2471324779
BaseRepresentation
bin1000011000001…
…10000111110000
311220020120120112
410030012013300
5120442422124
610550200452
71512236660
oct414060760
9156216515
1070279664
1136742174
121b653128
1311738c00
1494961a0
15628390e
hex43061f0

70279664 has 120 divisors (see below), whose sum is σ = 174274560. Its totient is φ = 26866944.

The previous prime is 70279631. The next prime is 70279667. The reversal of 70279664 is 46697207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70279667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889577 + ... + 889655.

It is an arithmetic number, because the mean of its divisors is an integer number (1452288).

Almost surely, 270279664 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 70279664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87137280).

70279664 is an abundant number, since it is smaller than the sum of its proper divisors (103994896).

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

70279664 is a wasteful number, since it uses less digits than its factorization.

70279664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 70279664 is about 8383.2967262289. The cubic root of 70279664 is about 412.6766459843.

The spelling of 70279664 in words is "seventy million, two hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 79 91 94 104 112 158 169 182 188 208 316 329 338 364 376 553 611 632 658 676 728 752 1027 1106 1183 1222 1264 1316 1352 1456 2054 2212 2366 2444 2632 2704 3713 4108 4277 4424 4732 4888 5264 7189 7426 7943 8216 8554 8848 9464 9776 13351 14378 14852 15886 16432 17108 18928 25991 26702 28756 29704 31772 34216 48269 51982 53404 55601 57512 59408 63544 68432 93457 96538 103964 106808 111202 115024 127088 186914 193076 207928 213616 222404 337883 373828 386152 415856 444808 627497 675766 747656 772304 889616 1254994 1351532 1495312 2509988 2703064 4392479 5019976 5406128 8784958 10039952 17569916 35139832 70279664