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80142372 = 2235412011
BaseRepresentation
bin1001100011011…
…10000000100100
312120210122200000
410301232000210
5131004023442
611541421300
71662125142
oct461560044
9176718600
1080142372
1141269172
1222a0a830
13137b012b
14a902592
157080d4c
hex4c6e024

80142372 has 72 divisors (see below), whose sum is σ = 215316192. Its totient is φ = 26049600.

The previous prime is 80142371. The next prime is 80142383. The reversal of 80142372 is 27324108.

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

It is not an unprimeable number, because it can be changed into a prime (80142371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38847 + ... + 40857.

Almost surely, 280142372 is an apocalyptic number.

80142372 is a gapful number since it is divisible by the number (82) 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 80142372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107658096).

80142372 is an abundant number, since it is smaller than the sum of its proper divisors (135173820).

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

80142372 is a wasteful number, since it uses less digits than its factorization.

80142372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80142372 is about 8952.2272089129. The cubic root of 80142372 is about 431.1423958375.

The spelling of 80142372 in words is "eighty million, one hundred forty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 738 972 1107 1476 2011 2214 3321 4022 4428 6033 6642 8044 9963 12066 13284 18099 19926 24132 36198 39852 54297 72396 82451 108594 162891 164902 217188 247353 325782 329804 488673 494706 651564 742059 977346 989412 1484118 1954692 2226177 2968236 4452354 6678531 8904708 13357062 20035593 26714124 40071186 80142372