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9992970 = 234513273
BaseRepresentation
bin100110000111…
…101100001010
3200210200210000
4212013230022
510024233340
6554103430
7150640011
oct46075412
920720700
109992970
115705959
12341ab76
1320bb600
141481a78
15d25d30
hex987b0a

9992970 has 120 divisors (see below), whose sum is σ = 29494476. Its totient is φ = 2426112.

The previous prime is 9992963. The next prime is 9993019. The reversal of 9992970 is 792999.

It can be written as a sum of positive squares in 6 ways, for example, as 1225449 + 8767521 = 1107^2 + 2961^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 59 ways as a sum of consecutive naturals, for example, 136854 + ... + 136926.

Almost surely, 29992970 is an apocalyptic number.

9992970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747238).

9992970 is an abundant number, since it is smaller than the sum of its proper divisors (19501506).

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

9992970 is a wasteful number, since it uses less digits than its factorization.

9992970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 9992970 is about 3161.1659241489. The cubic root of 9992970 is about 215.3929715819.

It can be divided in two parts, 99929 and 70, that added together give a palindrome (99999).

The spelling of 9992970 in words is "nine million, nine hundred ninety-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 73 78 81 90 117 130 135 146 162 169 195 219 234 270 338 351 365 390 405 438 507 585 657 702 730 810 845 949 1014 1053 1095 1170 1314 1521 1690 1755 1898 1971 2106 2190 2535 2847 3042 3285 3510 3942 4563 4745 5070 5265 5694 5913 6570 7605 8541 9126 9490 9855 10530 11826 12337 13689 14235 15210 17082 19710 22815 24674 25623 27378 28470 29565 37011 42705 45630 51246 59130 61685 68445 74022 76869 85410 111033 123370 128115 136890 153738 185055 222066 256230 333099 370110 384345 555165 666198 768690 999297 1110330 1665495 1998594 3330990 4996485 9992970