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9995920 = 2451137307
BaseRepresentation
bin100110001000…
…011010010000
3200210211211021
4212020122100
510024332140
6554125224
7150651424
oct46103220
920724737
109995920
1157080a0
123420814
1320bca5c
141482b84
15d26b4a
hex988690

9995920 has 80 divisors (see below), whose sum is σ = 26123328. Its totient is φ = 3525120.

The previous prime is 9995911. The next prime is 9995927. The reversal of 9995920 is 295999.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (9995927) 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, 32407 + ... + 32713.

Almost surely, 29995920 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 9995920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

9995920 is an abundant number, since it is smaller than the sum of its proper divisors (16127408).

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

9995920 is a wasteful number, since it uses less digits than its factorization.

9995920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 43.

The square root of 9995920 is about 3161.6324897116. The cubic root of 9995920 is about 215.4141647057.

The spelling of 9995920 in words is "nine million, nine hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 307 370 407 440 592 614 740 814 880 1228 1480 1535 1628 2035 2456 2960 3070 3256 3377 4070 4912 6140 6512 6754 8140 11359 12280 13508 16280 16885 22718 24560 27016 32560 33770 45436 54032 56795 67540 90872 113590 124949 135080 181744 227180 249898 270160 454360 499796 624745 908720 999592 1249490 1999184 2498980 4997960 9995920