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132677040 = 2435552821
BaseRepresentation
bin1111110100001…
…11110110110000
3100020122200200110
413322013312300
5232431131130
621055421320
73200510346
oct772076660
9306580613
10132677040
1168990251
1238524840
1321645132
1413899996
15b9abab0
hex7e87db0

132677040 has 40 divisors (see below), whose sum is σ = 411299568. Its totient is φ = 35380480.

The previous prime is 132676979. The next prime is 132677063. The reversal of 132677040 is 40776231.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 132676989 and 132677007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276171 + ... + 276650.

Almost surely, 2132677040 is an apocalyptic number.

132677040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132677040 is an abundant number, since it is smaller than the sum of its proper divisors (278622528).

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

132677040 is a wasteful number, since it uses less digits than its factorization.

132677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552837 (or 552831 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 132677040 is about 11518.5519923296. The cubic root of 132677040 is about 510.0333695966.

The spelling of 132677040 in words is "one hundred thirty-two million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 552821 1105642 1658463 2211284 2764105 3316926 4422568 5528210 6633852 8292315 8845136 11056420 13267704 16584630 22112840 26535408 33169260 44225680 66338520 132677040