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9980123920 = 2451319505067
BaseRepresentation
bin10010100101101110…
…01001101100010000
3221202112100211021021
421102313021230100
5130414402431140
64330152405224
7502213440124
oct112267115420
927675324237
109980123920
1142615798a8
121b263a6814
13c3084b590
146a966b584
153d6283b4a
hex252dc9b10

9980123920 has 80 divisors (see below), whose sum is σ = 26303941440. Its totient is φ = 3491016192.

The previous prime is 9980123917. The next prime is 9980123927. The reversal of 9980123920 is 293210899.

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 (9980123927) 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, 232774 + ... + 272293.

It is an arithmetic number, because the mean of its divisors is an integer number (328799268).

Almost surely, 29980123920 is an apocalyptic number.

It is an amenable number.

9980123920 is an abundant number, since it is smaller than the sum of its proper divisors (16323817520).

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

9980123920 is a wasteful number, since it uses less digits than its factorization.

9980123920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505112 (or 505106 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 9980123920 is about 99900.5701685431. The cubic root of 9980123920 is about 2153.0063527468.

The spelling of 9980123920 in words is "nine billion, nine hundred eighty million, one hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 505067 1010134 2020268 2525335 4040536 5050670 6565871 8081072 9596273 10101340 13131742 19192546 20202680 26263484 32829355 38385092 40405360 47981365 52526968 65658710 76770184 95962730 105053936 124751549 131317420 153540368 191925460 249503098 262634840 383850920 499006196 525269680 623757745 767701840 998012392 1247515490 1996024784 2495030980 4990061960 9980123920