Search a number
-
+
33260632140 = 22357961311447
BaseRepresentation
bin11110111110011111…
…001111100001001100
310011211222202011210110
4132332133033201030
51021104210212030
623140230440020
72255141465001
oct367637174114
9104758664713
1033260632140
111311883a23a
126542b03010
1331a0a72528
1418774d78a8
15cea0021b0
hex7be7cf84c

33260632140 has 96 divisors (see below), whose sum is σ = 94470727680. Its totient is φ = 8742180096.

The previous prime is 33260632133. The next prime is 33260632231. The reversal of 33260632140 is 4123606233.

It is a super-2 number, since 2×332606321402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33260632098 and 33260632107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2899897 + ... + 2911343.

It is an arithmetic number, because the mean of its divisors is an integer number (984070080).

Almost surely, 233260632140 is an apocalyptic number.

33260632140 is a gapful number since it is divisible by the number (30) 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 33260632140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47235363840).

33260632140 is an abundant number, since it is smaller than the sum of its proper divisors (61210095540).

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

33260632140 is a wasteful number, since it uses less digits than its factorization.

33260632140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12151 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 33260632140 in words is "thirty-three billion, two hundred sixty million, six hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 613 790 948 1185 1226 1580 1839 2370 2452 3065 3678 4740 6130 7356 9195 11447 12260 18390 22894 34341 36780 45788 48427 57235 68682 96854 114470 137364 145281 171705 193708 228940 242135 290562 343410 484270 581124 686820 726405 904313 968540 1452810 1808626 2712939 2905620 3617252 4521565 5425878 7017011 9043130 10851756 13564695 14034022 18086260 21051033 27129390 28068044 35085055 42102066 54258780 70170110 84204132 105255165 140340220 210510330 421020660 554343869 1108687738 1663031607 2217375476 2771719345 3326063214 5543438690 6652126428 8315158035 11086877380 16630316070 33260632140