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9900132 = 22311179419
BaseRepresentation
bin100101110001…
…000001100100
3200121222102120
4211301001210
510013301012
6552105540
7150102234
oct45610144
920558376
109900132
115652130
1233952b0
132088288
141459cc4
15d0858c
hex971064

9900132 has 48 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2976160.

The previous prime is 9900119. The next prime is 9900139. The reversal of 9900132 is 2310099.

It is a happy number.

It is a super-2 number, since 2×99001322 = 196025227234848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9900139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23419 + ... + 23837.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 29900132 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 9900132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

9900132 is an abundant number, since it is smaller than the sum of its proper divisors (15501468).

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

9900132 is a wasteful number, since it uses less digits than its factorization.

9900132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 9900132 is about 3146.4475206175. The cubic root of 9900132 is about 214.7238712217.

The spelling of 9900132 in words is "nine million, nine hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 419 537 716 838 1074 1257 1676 1969 2148 2514 3938 4609 5028 5907 7876 9218 11814 13827 18436 23628 27654 55308 75001 150002 225003 300004 450006 825011 900012 1650022 2475033 3300044 4950066 9900132