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133785708 = 22373183619
BaseRepresentation
bin1111111100101…
…10100001101100
3100022202000111020
413332112201230
5233222120313
621135254140
73213105540
oct776264154
9308660436
10133785708
1169578201
123897a350
1321942954
1413aa7a20
15bb2a323
hex7f9686c

133785708 has 96 divisors (see below), whose sum is σ = 373309440. Its totient is φ = 36486720.

The previous prime is 133785679. The next prime is 133785709. The reversal of 133785708 is 807587331.

It is a super-2 number, since 2×1337857082 = 35797231330122528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 133785708.

It is not an unprimeable number, because it can be changed into a prime (133785709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215823 + ... + 216441.

It is an arithmetic number, because the mean of its divisors is an integer number (3888640).

Almost surely, 2133785708 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 133785708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186654720).

133785708 is an abundant number, since it is smaller than the sum of its proper divisors (239523732).

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

133785708 is a wasteful number, since it uses less digits than its factorization.

133785708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 133785708 is about 11566.5771946588. The cubic root of 133785708 is about 511.4500676990.

The spelling of 133785708 in words is "one hundred thirty-three million, seven hundred eighty-five thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 83 84 93 124 166 186 217 249 332 372 434 498 581 619 651 868 996 1162 1238 1302 1743 1857 2324 2476 2573 2604 3486 3714 4333 5146 6972 7428 7719 8666 10292 12999 15438 17332 18011 19189 25998 30876 36022 38378 51377 51996 54033 57567 72044 76756 102754 108066 115134 134323 154131 205508 216132 230268 268646 308262 359639 402969 537292 616524 719278 805938 1078917 1438556 1592687 1611876 2157834 3185374 4315668 4778061 6370748 9556122 11148809 19112244 22297618 33446427 44595236 66892854 133785708