Search a number
-
+
90660114120 = 23355693132707
BaseRepresentation
bin101010001101111000…
…0111000111011001000
322200000020222222110110
41110123300320323020
52441132442122440
6105352040514320
76356433153342
oct1243360707310
9280006888413
1090660114120
11354a32a8654
12156a1a7b9a0
13871a807a54
144560852292
1525592c1080
hex151bc38ec8

90660114120 has 64 divisors (see below), whose sum is σ = 272030166720. Its totient is φ = 24171601664.

The previous prime is 90660114109. The next prime is 90660114161. The reversal of 90660114120 is 2141106609.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616807 + ... + 749513.

It is an arithmetic number, because the mean of its divisors is an integer number (4250471355).

Almost surely, 290660114120 is an apocalyptic number.

It is an amenable number.

90660114120 is an abundant number, since it is smaller than the sum of its proper divisors (181370052600).

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

90660114120 is a wasteful number, since it uses less digits than its factorization.

90660114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138414 (or 138410 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 90660114120 in words is "ninety billion, six hundred sixty million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5693 11386 17079 22772 28465 34158 45544 56930 68316 85395 113860 132707 136632 170790 227720 265414 341580 398121 530828 663535 683160 796242 1061656 1327070 1592484 1990605 2654140 3184968 3981210 5308280 7962420 15924840 755500951 1511001902 2266502853 3022003804 3777504755 4533005706 6044007608 7555009510 9066011412 11332514265 15110019020 18132022824 22665028530 30220038040 45330057060 90660114120