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9972150 = 2352193499
BaseRepresentation
bin100110000010…
…100110110110
3200202122012220
4212002212312
510023102100
6553423210
7150522216
oct46024666
920678186
109972150
1156a1251
12340ab06
1320b1ca6
141478246
15d1eaa0
hex9829b6

9972150 has 48 divisors (see below), whose sum is σ = 26040000. Its totient is φ = 2518560.

The previous prime is 9972139. The next prime is 9972161. The reversal of 9972150 is 512799.

It is an interprime number because it is at equal distance from previous prime (9972139) and next prime (9972161).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (542500).

Almost surely, 29972150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020000).

9972150 is an abundant number, since it is smaller than the sum of its proper divisors (16067850).

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

9972150 is a wasteful number, since it uses less digits than its factorization.

9972150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 9972150 is about 3157.8711183327. The cubic root of 9972150 is about 215.2432796919.

The spelling of 9972150 in words is "nine million, nine hundred seventy-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 3499 6998 10497 17495 20994 34990 52485 66481 87475 104970 132962 174950 199443 262425 332405 398886 524850 664810 997215 1662025 1994430 3324050 4986075 9972150