Search a number
-
+
32302674990 = 23352337140587
BaseRepresentation
bin11110000101011000…
…111011010000101110
310002101020011220122000
4132011120323100232
51012123441044430
622501210233130
72222330131005
oct360530732056
9102336156560
1032302674990
1112777021913
1263161257a6
13307a465991
1417c61b1c3c
15c90d77e60
hex78563b42e

32302674990 has 128 divisors (see below), whose sum is σ = 92315704320. Its totient is φ = 8016776064.

The previous prime is 32302674977. The next prime is 32302674997. The reversal of 32302674990 is 9947620323.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32302674997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159477 + ... + 300063.

It is an arithmetic number, because the mean of its divisors is an integer number (721216440).

Almost surely, 232302674990 is an apocalyptic number.

32302674990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32302674990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46157852160).

32302674990 is an abundant number, since it is smaller than the sum of its proper divisors (60013029330).

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

32302674990 is a wasteful number, since it uses less digits than its factorization.

32302674990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140663 (or 140657 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 32302674990 in words is "thirty-two billion, three hundred two million, six hundred seventy-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 69 74 90 111 115 135 138 185 207 222 230 270 333 345 370 414 555 621 666 690 851 999 1035 1110 1242 1665 1702 1998 2070 2553 3105 3330 4255 4995 5106 6210 7659 8510 9990 12765 15318 22977 25530 38295 45954 76590 114885 140587 229770 281174 421761 702935 843522 1265283 1405870 2108805 2530566 3233501 3795849 4217610 5201719 6326415 6467002 7591698 9700503 10403438 12652830 15605157 16167505 18979245 19401006 26008595 29101509 31210314 32335010 37958490 46815471 48502515 52017190 58203018 78025785 87304527 93630942 97005030 119639537 140446413 145507545 156051570 174609054 234077355 239279074 280892826 291015090 358918611 436522635 468154710 598197685 702232065 717837222 873045270 1076755833 1196395370 1404464130 1794593055 2153511666 3230267499 3589186110 5383779165 6460534998 10767558330 16151337495 32302674990