Search a number
-
+
5140698960 = 2435532771459
BaseRepresentation
bin1001100100110100…
…01101011101010000
3111021021010120020210
410302122031131100
541012004331320
62210035004120
7241251135345
oct46232153520
914237116223
105140698960
1121a8877241
12bb5739640
1363c052107
1436aa487cc
1520149a0e0
hex13268d750

5140698960 has 160 divisors (see below), whose sum is σ = 16306634880. Its totient is φ = 1339213824.

The previous prime is 5140698923. The next prime is 5140698961. The reversal of 5140698960 is 698960415.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140698961) 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, 3522711 + ... + 3524169.

It is an arithmetic number, because the mean of its divisors is an integer number (101916468).

Almost surely, 25140698960 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 5140698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153317440).

5140698960 is an abundant number, since it is smaller than the sum of its proper divisors (11165935920).

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

5140698960 is a wasteful number, since it uses less digits than its factorization.

5140698960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 5140698960 is about 71698.6677700500. The cubic root of 5140698960 is about 1725.8672622842.

The spelling of 5140698960 in words is "five billion, one hundred forty million, six hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 277 318 424 530 554 636 795 831 848 1060 1108 1272 1385 1459 1590 1662 2120 2216 2544 2770 2918 3180 3324 4155 4240 4377 4432 5540 5836 6360 6648 7295 8310 8754 11080 11672 12720 13296 14590 14681 16620 17508 21885 22160 23344 29180 29362 33240 35016 43770 44043 58360 58724 66480 70032 73405 77327 87540 88086 116720 117448 146810 154654 175080 176172 220215 231981 234896 293620 309308 350160 352344 386635 404143 440430 463962 587240 618616 704688 773270 808286 880860 927924 1159905 1174480 1212429 1237232 1546540 1616572 1761720 1855848 2020715 2319810 2424858 3093080 3233144 3523440 3711696 4041430 4639620 4849716 6062145 6186160 6466288 8082860 9279240 9699432 12124290 16165720 18558480 19398864 21419579 24248580 32331440 42839158 48497160 64258737 85678316 96994320 107097895 128517474 171356632 214195790 257034948 321293685 342713264 428391580 514069896 642587370 856783160 1028139792 1285174740 1713566320 2570349480 5140698960