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5140029636 = 2234725692
BaseRepresentation
bin1001100100101111…
…01010000011000100
3111021012212120010000
410302113222003010
541011321422021
62210012401300
7241242350100
oct46227520304
914235776100
105140029636
1121a845a385
12bb5476230
1363bb79571
1436a912900
152013b6b26
hex1325ea0c4

5140029636 has 135 divisors (see below), whose sum is σ = 15658376349. Its totient is φ = 1465998912.

The previous prime is 5140029619. The next prime is 5140029649. The reversal of 5140029636 is 6369200415.

It is a happy number.

The square root of 5140029636 is 71694.

It is a perfect power (a square), and thus also a powerful number.

5140029636 is a `hidden beast` number, since 5 + 14 + 0 + 0 + 2 + 9 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 847159236 + 4292870400 = 29106^2 + 65520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5140029636.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9033160 + ... + 9033728.

Almost surely, 25140029636 is an apocalyptic number.

5140029636 is the 71694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140029636

5140029636 is an abundant number, since it is smaller than the sum of its proper divisors (10518346713).

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

5140029636 is an equidigital number, since it uses as much as digits as its factorization.

5140029636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 5140029636 is about 1725.7923558349.

Multiplying 5140029636 by its sum of digits (36), we get a square (185041066896 = 4301642).

5140029636 divided by its sum of digits (36) gives a square (142778601 = 119492).

The spelling of 5140029636 in words is "five billion, one hundred forty million, twenty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 569 588 756 882 1134 1138 1323 1707 1764 2268 2276 2646 3414 3969 3983 5121 5292 6828 7938 7966 10242 11949 15363 15876 15932 20484 23898 27881 30726 35847 46089 47796 55762 61452 71694 83643 92178 107541 111524 143388 167286 184356 215082 250929 322623 323761 334572 430164 501858 645246 647522 752787 971283 1003716 1290492 1295044 1505574 1942566 2258361 2266327 2913849 3011148 3885132 4516722 4532654 5827698 6798981 8741547 9033444 9065308 11655396 13597962 15864289 17483094 20396943 26224641 27195924 31728578 34966188 40793886 47592867 52449282 61190829 63457156 81587772 95185734 104898564 122381658 142778601 183572487 190371468 244763316 285557202 367144974 428335803 571114404 734289948 856671606 1285007409 1713343212 2570014818 5140029636