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122033040 = 2435508471
BaseRepresentation
bin1110100011000…
…01001110010000
322111121220212020
413101201032100
5222220024130
620035331440
73011156313
oct721411620
9274556766
10122033040
1162980258
1234a50b80
131c3893cc
14122c897a
15aaa7e10
hex7461390

122033040 has 40 divisors (see below), whose sum is σ = 378303168. Its totient is φ = 32542080.

The previous prime is 122033033. The next prime is 122033053. The reversal of 122033040 is 40330221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253996 + ... + 254475.

Almost surely, 2122033040 is an apocalyptic number.

122033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122033040 is an abundant number, since it is smaller than the sum of its proper divisors (256270128).

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

122033040 is a wasteful number, since it uses less digits than its factorization.

122033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508487 (or 508481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 122033040 is about 11046.8565664627. The cubic root of 122033040 is about 496.0123349343.

Adding to 122033040 its reverse (40330221), we get a palindrome (162363261).

The spelling of 122033040 in words is "one hundred twenty-two million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 508471 1016942 1525413 2033884 2542355 3050826 4067768 5084710 6101652 7627065 8135536 10169420 12203304 15254130 20338840 24406608 30508260 40677680 61016520 122033040