Search a number
-
+
83741130 = 232511251337
BaseRepresentation
bin1001111110111…
…00100111001010
312211120111020100
410333130213022
5132414204010
612150510230
72034534144
oct477344712
9184514210
1083741130
11432a6a50
1224065376
1314470185
14b19bc94
1575422c0
hex4fdc9ca

83741130 has 96 divisors (see below), whose sum is σ = 239174208. Its totient is φ = 20160000.

The previous prime is 83741117. The next prime is 83741143. The reversal of 83741130 is 3114738.

It is an interprime number because it is at equal distance from previous prime (83741117) and next prime (83741143).

It is a junction number, because it is equal to n+sod(n) for n = 83741094 and 83741103.

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, 248322 + ... + 248658.

It is an arithmetic number, because the mean of its divisors is an integer number (2491398).

Almost surely, 283741130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83741130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119587104).

83741130 is an abundant number, since it is smaller than the sum of its proper divisors (155433078).

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

83741130 is a wasteful number, since it uses less digits than its factorization.

83741130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83741130 is about 9151.0179761598. The cubic root of 83741130 is about 437.5015597223.

Adding to 83741130 its reverse (3114738), we get a palindrome (86855868).

The spelling of 83741130 in words is "eighty-three million, seven hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 251 330 337 495 502 674 753 990 1011 1255 1506 1685 2022 2259 2510 2761 3033 3370 3707 3765 4518 5055 5522 6066 7414 7530 8283 10110 11121 11295 13805 15165 16566 18535 22242 22590 24849 27610 30330 33363 37070 41415 49698 55605 66726 82830 84587 111210 124245 166815 169174 248490 253761 333630 422935 507522 761283 845870 930457 1268805 1522566 1860914 2537610 2791371 3806415 4652285 5582742 7612830 8374113 9304570 13956855 16748226 27913710 41870565 83741130