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9900072 = 23327131511
BaseRepresentation
bin100101110001…
…000000101000
3200121222100100
4211301000220
510013300242
6552105400
7150102120
oct45610050
920558310
109900072
115652086
123395260
132088240
141459c80
15d0854c
hex971028

9900072 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2609280.

The previous prime is 9900047. The next prime is 9900091. The reversal of 9900072 is 2700099.

It is a super-2 number, since 2×99000722 = 196022851210368, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5797 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 29900072 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 9900072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

9900072 is an abundant number, since it is smaller than the sum of its proper divisors (23122008).

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

9900072 is a wasteful number, since it uses less digits than its factorization.

9900072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 9900072 is about 3146.4379860407. The cubic root of 9900072 is about 214.7234374410.

Adding to 9900072 its sum of digits (27), we get a palindrome (9900099).

The spelling of 9900072 in words is "nine million, nine hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1511 1638 2184 3022 3276 4533 6044 6552 9066 10577 12088 13599 18132 19643 21154 27198 31731 36264 39286 42308 54396 58929 63462 78572 84616 95193 108792 117858 126924 137501 157144 176787 190386 235716 253848 275002 353574 380772 412503 471432 550004 707148 761544 825006 1100008 1237509 1414296 1650012 2475018 3300024 4950036 9900072