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9920070 = 234537331
BaseRepresentation
bin100101110101…
…111001000110
3200122222210000
4211311321012
510014420240
6552342130
7150214326
oct45657106
920588700
109920070
115666106
1233a4946
132094384
141463286
15d0e430
hex975e46

9920070 has 80 divisors (see below), whose sum is σ = 27477648. Its totient is φ = 2566080.

The previous prime is 9920047. The next prime is 9920089. The reversal of 9920070 is 700299.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29805 + ... + 30135.

Almost surely, 29920070 is an apocalyptic number.

9920070 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 9920070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738824).

9920070 is an abundant number, since it is smaller than the sum of its proper divisors (17557578).

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

9920070 is a wasteful number, since it uses less digits than its factorization.

9920070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

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

The square root of 9920070 is about 3149.6142620962. The cubic root of 9920070 is about 214.8679195971.

The spelling of 9920070 in words is "nine million, nine hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 331 333 370 405 555 662 666 810 993 999 1110 1655 1665 1986 1998 2979 2997 3310 3330 4965 4995 5958 5994 8937 9930 9990 12247 14895 14985 17874 24494 26811 29790 29970 36741 44685 53622 61235 73482 89370 110223 122470 134055 183705 220446 268110 330669 367410 551115 661338 992007 1102230 1653345 1984014 3306690 4960035 9920070