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80193132 = 22337331013
BaseRepresentation
bin1001100011110…
…10011001101100
312120220020022000
410301322121230
5131012140012
611542452300
71662426135
oct461723154
9176806260
1080193132
11412a3318
1222a34090
13137ca276
14a916c8c
157090ddc
hex4c7a66c

80193132 has 48 divisors (see below), whose sum is σ = 208397280. Its totient is φ = 26668224.

The previous prime is 80193121. The next prime is 80193143. The reversal of 80193132 is 23139108.

It is an interprime number because it is at equal distance from previous prime (80193121) and next prime (80193143).

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

It is a junction number, because it is equal to n+sod(n) for n = 80193096 and 80193105.

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, 78658 + ... + 79670.

It is an arithmetic number, because the mean of its divisors is an integer number (4341610).

Almost surely, 280193132 is an apocalyptic number.

It is an amenable number.

80193132 is an abundant number, since it is smaller than the sum of its proper divisors (128204148).

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

80193132 is a wasteful number, since it uses less digits than its factorization.

80193132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 80193132 is about 8955.0618088319. The cubic root of 80193132 is about 431.2334012515.

The spelling of 80193132 in words is "eighty million, one hundred ninety-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 733 1013 1466 2026 2199 2932 3039 4052 4398 6078 6597 8796 9117 12156 13194 18234 19791 26388 27351 36468 39582 54702 79164 109404 742529 1485058 2227587 2970116 4455174 6682761 8910348 13365522 20048283 26731044 40096566 80193132