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72428140 = 2254188327
BaseRepresentation
bin1000101000100…
…10101001101100
312001021201201201
410110102221230
5122020200030
611104215244
71536425521
oct424225154
9161251651
1072428140
113797a374
122030a524
131200bab5
149895148
15655a2ca
hex4512a6c

72428140 has 24 divisors (see below), whose sum is σ = 155810592. Its totient is φ = 28264320.

The previous prime is 72428131. The next prime is 72428149. The reversal of 72428140 is 4182427.

It is an interprime number because it is at equal distance from previous prime (72428131) and next prime (72428149).

It is a junction number, because it is equal to n+sod(n) for n = 72428099 and 72428108.

It is not an unprimeable number, because it can be changed into a prime (72428149) by changing a digit.

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, 43344 + ... + 44983.

It is an arithmetic number, because the mean of its divisors is an integer number (6492108).

Almost surely, 272428140 is an apocalyptic number.

It is an amenable number.

72428140 is an abundant number, since it is smaller than the sum of its proper divisors (83382452).

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

72428140 is a wasteful number, since it uses less digits than its factorization.

72428140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88377 (or 88375 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 72428140 is about 8510.4723723187. The cubic root of 72428140 is about 416.8397346817.

The spelling of 72428140 in words is "seventy-two million, four hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 88327 176654 353308 441635 883270 1766540 3621407 7242814 14485628 18107035 36214070 72428140