Search a number
-
+
122046480 = 2433556503
BaseRepresentation
bin1110100011001…
…00100000010000
322111122121022000
413101210200100
5222220441410
620035514000
73011243433
oct721444020
9274577260
10122046480
116298a366
1234a58900
131c39256a
14122cd81a
15aaabdc0
hex7464810

122046480 has 80 divisors (see below), whose sum is σ = 420389760. Its totient is φ = 32545152.

The previous prime is 122046479. The next prime is 122046503. The reversal of 122046480 is 84640221.

122046480 is a `hidden beast` number, since 12 + 2 + 0 + 4 + 648 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26092 + ... + 30411.

It is an arithmetic number, because the mean of its divisors is an integer number (5254872).

Almost surely, 2122046480 is an apocalyptic number.

122046480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122046480 is an abundant number, since it is smaller than the sum of its proper divisors (298343280).

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

122046480 is a wasteful number, since it uses less digits than its factorization.

122046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56525 (or 56513 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 122046480 is about 11047.4648675612. The cubic root of 122046480 is about 496.0305435579.

The spelling of 122046480 in words is "one hundred twenty-two million, forty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 56503 113006 169509 226012 282515 339018 452024 508527 565030 678036 847545 904048 1017054 1130060 1356072 1525581 1695090 2034108 2260120 2542635 2712144 3051162 3390180 4068216 4520240 5085270 6102324 6780360 7627905 8136432 10170540 12204648 13560720 15255810 20341080 24409296 30511620 40682160 61023240 122046480