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900457012 = 227132372139
BaseRepresentation
bin110101101010111…
…110001000110100
32022202100221210201
4311222332020310
53321004111022
6225203530244
731212521050
oct6552761064
92282327721
10900457012
11422314754
12211689984
13114726700
1487838c60
15540bc127
hex35abe234

900457012 has 108 divisors (see below), whose sum is σ = 2018651040. Its totient is φ = 344103552.

The previous prime is 900456979. The next prime is 900457021. The reversal of 900457012 is 210754009.

It is a happy number.

It is a super-3 number, since 3×9004570123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6478039 + ... + 6478177.

Almost surely, 2900457012 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 900457012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009325520).

900457012 is an abundant number, since it is smaller than the sum of its proper divisors (1118194028).

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

900457012 is a wasteful number, since it uses less digits than its factorization.

900457012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 900457012 is about 30007.6158999678. The cubic root of 900457012 is about 965.6527792611.

The spelling of 900457012 in words is "nine hundred million, four hundred fifty-seven thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 139 148 169 182 259 278 338 364 481 518 556 676 962 973 1036 1183 1369 1807 1924 1946 2366 2738 3367 3614 3892 4732 5143 5476 6253 6734 7228 9583 10286 12506 12649 13468 17797 19166 20572 23491 25012 25298 35594 36001 38332 43771 46982 50596 66859 71188 72002 87542 93964 124579 133718 144004 164437 175084 190291 231361 249158 267436 328874 380582 462722 468013 498316 657748 761164 869167 925444 936026 1332037 1619527 1738334 1872052 2473783 2664074 3239054 3476668 4947566 5328148 6084169 6478108 9895132 12168338 17316481 24336676 32159179 34632962 64318358 69265924 128636716 225114253 450228506 900457012