Search a number
-
+
70910268 = 223111331243
BaseRepresentation
bin1000011101000…
…00000100111100
311221102121121020
410032200010330
5121123112033
611011504140
71520504322
oct416400474
9157377536
1070910268
1137032a30
121b8b8050
13118c9c50
1495bbd12
15635a6b3
hex43a013c

70910268 has 144 divisors (see below), whose sum is σ = 205527168. Its totient is φ = 18748800.

The previous prime is 70910251. The next prime is 70910297. The reversal of 70910268 is 86201907.

It is a super-2 number, since 2×709102682 = 10056532215663648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649055 + ... + 1649097.

It is an arithmetic number, because the mean of its divisors is an integer number (1427272).

Almost surely, 270910268 is an apocalyptic number.

70910268 is a gapful number since it is divisible by the number (78) 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 70910268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102763584).

70910268 is an abundant number, since it is smaller than the sum of its proper divisors (134616900).

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

70910268 is a wasteful number, since it uses less digits than its factorization.

70910268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 70910268 is about 8420.8234751715. The cubic root of 70910268 is about 413.9072582758.

The spelling of 70910268 in words is "seventy million, nine hundred ten thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 43 44 52 62 66 78 86 93 124 129 132 143 156 172 186 258 286 341 372 403 429 473 516 559 572 682 806 858 946 961 1023 1118 1209 1333 1364 1419 1612 1677 1716 1892 1922 2046 2236 2418 2666 2838 2883 3354 3844 3999 4092 4433 4836 5332 5676 5766 6149 6708 7998 8866 10571 11532 12298 12493 13299 14663 15996 17329 17732 18447 21142 24596 24986 26598 29326 31713 34658 36894 37479 41323 42284 43989 49972 51987 53196 58652 63426 69316 73788 74958 82646 87978 103974 123969 126852 137423 149916 165292 175956 190619 207948 247938 274846 381238 412269 454553 495876 537199 549692 571857 762476 824538 909106 1074398 1143714 1363659 1611597 1649076 1818212 2148796 2287428 2727318 3223194 5454636 5909189 6446388 11818378 17727567 23636756 35455134 70910268