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70148680 = 23572953163
BaseRepresentation
bin1000010111001…
…10001001001000
311212222220220021
410023212021020
5120424224210
610543310224
71511153050
oct413461110
9155886807
1070148680
1136662818
121b5ab374
13116c13c4
149460560
156259bda
hex42e6248

70148680 has 128 divisors (see below), whose sum is σ = 191289600. Its totient is φ = 22643712.

The previous prime is 70148677. The next prime is 70148737. The reversal of 70148680 is 8684107.

It is a happy 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, 430279 + ... + 430441.

It is an arithmetic number, because the mean of its divisors is an integer number (1494450).

Almost surely, 270148680 is an apocalyptic number.

70148680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95644800).

70148680 is an abundant number, since it is smaller than the sum of its proper divisors (121140920).

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

70148680 is a wasteful number, since it uses less digits than its factorization.

70148680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 70148680 is about 8375.4808817166. The cubic root of 70148680 is about 412.4201106383.

The spelling of 70148680 in words is "seventy million, one hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 53 56 58 70 106 116 140 145 163 203 212 232 265 280 290 326 371 406 424 530 580 652 742 812 815 1015 1060 1141 1160 1304 1484 1537 1624 1630 1855 2030 2120 2282 2968 3074 3260 3710 4060 4564 4727 5705 6148 6520 7420 7685 8120 8639 9128 9454 10759 11410 12296 14840 15370 17278 18908 21518 22820 23635 30740 33089 34556 37816 43036 43195 45640 47270 53795 60473 61480 66178 69112 86072 86390 94540 107590 120946 132356 165445 172780 189080 215180 241892 250531 264712 302365 330890 345560 430360 483784 501062 604730 661780 1002124 1209460 1252655 1323560 1753717 2004248 2418920 2505310 3507434 5010620 7014868 8768585 10021240 14029736 17537170 35074340 70148680