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120196080 = 243251391201
BaseRepresentation
bin1110010101000…
…00101111110000
322101011121000200
413022200233300
5221232233310
615532115200
72656435614
oct712405760
9271147020
10120196080
1161936104
1234305b00
131bb95254
1411d6b344
15a8439c0
hex72a0bf0

120196080 has 120 divisors (see below), whose sum is σ = 406901040. Its totient is φ = 31795200.

The previous prime is 120196067. The next prime is 120196093. The reversal of 120196080 is 80691021.

It is an interprime number because it is at equal distance from previous prime (120196067) and next prime (120196093).

It is a tau number, because it is divible by the number of its divisors (120).

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 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 23 ways as a sum of consecutive naturals, for example, 99480 + ... + 100680.

It is an arithmetic number, because the mean of its divisors is an integer number (3390842).

Almost surely, 2120196080 is an apocalyptic number.

120196080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120196080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203450520).

120196080 is an abundant number, since it is smaller than the sum of its proper divisors (286704960).

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

120196080 is a wasteful number, since it uses less digits than its factorization.

120196080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120196080 is about 10963.3972836890. The cubic root of 120196080 is about 493.5109213746.

The spelling of 120196080 in words is "one hundred twenty million, one hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1201 1251 1390 1668 2085 2224 2402 2502 2780 3336 3603 4170 4804 5004 5560 6005 6255 6672 7206 8340 9608 10008 10809 11120 12010 12510 14412 16680 18015 19216 20016 21618 24020 25020 28824 33360 36030 43236 48040 50040 54045 57648 72060 86472 96080 100080 108090 144120 166939 172944 216180 288240 333878 432360 500817 667756 834695 864720 1001634 1335512 1502451 1669390 2003268 2504085 2671024 3004902 3338780 4006536 5008170 6009804 6677560 7512255 8013072 10016340 12019608 13355120 15024510 20032680 24039216 30049020 40065360 60098040 120196080