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70138320 = 2435783503
BaseRepresentation
bin1000010111000…
…11100111010000
311212222101200120
410023203213100
5120423411240
610543150240
71511110620
oct413434720
9155871616
1070138320
1136655a5a
121b5a5380
13116b9785
14945a880
156256ad0
hex42e39d0

70138320 has 160 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 15806976.

The previous prime is 70138307. The next prime is 70138351. The reversal of 70138320 is 2383107.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 139189 + ... + 139691.

Almost surely, 270138320 is an apocalyptic number.

70138320 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 70138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

70138320 is an abundant number, since it is smaller than the sum of its proper divisors (181845552).

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

70138320 is a wasteful number, since it uses less digits than its factorization.

70138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 70138320 is about 8374.8623869291. The cubic root of 70138320 is about 412.3998067034.

The spelling of 70138320 in words is "seventy million, one hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 166 168 210 240 249 280 332 336 415 420 498 503 560 581 664 830 840 996 1006 1162 1245 1328 1509 1660 1680 1743 1992 2012 2324 2490 2515 2905 3018 3320 3486 3521 3984 4024 4648 4980 5030 5810 6036 6640 6972 7042 7545 8048 8715 9296 9960 10060 10563 11620 12072 13944 14084 15090 17430 17605 19920 20120 21126 23240 24144 27888 28168 30180 34860 35210 40240 41749 42252 46480 52815 56336 60360 69720 70420 83498 84504 105630 120720 125247 139440 140840 166996 169008 208745 211260 250494 281680 292243 333992 417490 422520 500988 584486 626235 667984 834980 845040 876729 1001976 1168972 1252470 1461215 1669960 1753458 2003952 2337944 2504940 2922430 3339920 3506916 4383645 4675888 5009880 5844860 7013832 8767290 10019760 11689720 14027664 17534580 23379440 35069160 70138320