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90020112 = 24371337557
BaseRepresentation
bin1010101110110…
…01100100010000
320021101111101020
411113121210100
5141021120422
612533235440
72142105210
oct527314420
9207344336
1090020112
11468a5496
1226192b80
131585b150
14bd54240
157d8295c
hex55d9910

90020112 has 160 divisors (see below), whose sum is σ = 294481152. Its totient is φ = 23058432.

The previous prime is 90020111. The next prime is 90020141. The reversal of 90020112 is 21102009.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90020091 and 90020100.

It is not an unprimeable number, because it can be changed into a prime (90020111) 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, 161338 + ... + 161894.

Almost surely, 290020112 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 90020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

90020112 is an abundant number, since it is smaller than the sum of its proper divisors (204461040).

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

90020112 is a wasteful number, since it uses less digits than its factorization.

90020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 90020112 is about 9487.8929167650. The cubic root of 90020112 is about 448.1738536555.

It can be divided in two parts, 900 and 20112, that added together give a palindrome (21012).

The spelling of 90020112 in words is "ninety million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 557 592 624 728 777 888 962 1036 1092 1114 1443 1456 1554 1671 1776 1924 2072 2184 2228 2886 3108 3342 3367 3848 3899 4144 4368 4456 5772 6216 6684 6734 7241 7696 7798 8912 10101 11544 11697 12432 13368 13468 14482 15596 20202 20609 21723 23088 23394 26736 26936 28964 31192 40404 41218 43446 46788 50687 53872 57928 61827 62384 80808 82436 86892 93576 101374 115856 123654 144263 152061 161616 164872 173784 187152 202748 247308 267917 288526 304122 329744 347568 405496 432789 494616 535834 577052 608244 803751 810992 865578 989232 1071668 1154104 1216488 1607502 1731156 1875419 2143336 2308208 2432976 3215004 3462312 3750838 4286672 5626257 6430008 6924624 7501676 11252514 12860016 15003352 22505028 30006704 45010056 90020112