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101032640 = 2651572011
BaseRepresentation
bin1100000010110…
…10001011000000
321001002222201122
412001122023000
5201331021030
614005251412
72334522542
oct601321300
9231088648
10101032640
1152037355
1229a03b68
1317c15837
14d5bd692
158d0a8e5
hex605a2c0

101032640 has 56 divisors (see below), whose sum is σ = 242236752. Its totient is φ = 40135680.

The previous prime is 101032639. The next prime is 101032667. The reversal of 101032640 is 46230101.

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, 49235 + ... + 51245.

Almost surely, 2101032640 is an apocalyptic number.

101032640 is a gapful number since it is divisible by the number (10) 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 101032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121118376).

101032640 is an abundant number, since it is smaller than the sum of its proper divisors (141204112).

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

101032640 is a wasteful number, since it uses less digits than its factorization.

101032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 101032640 is about 10051.4993906382. The cubic root of 101032640 is about 465.7511119747.

Adding to 101032640 its reverse (46230101), we get a palindrome (147262741).

The spelling of 101032640 in words is "one hundred one million, thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 157 160 314 320 628 785 1256 1570 2011 2512 3140 4022 5024 6280 8044 10048 10055 12560 16088 20110 25120 32176 40220 50240 64352 80440 128704 160880 315727 321760 631454 643520 1262908 1578635 2525816 3157270 5051632 6314540 10103264 12629080 20206528 25258160 50516320 101032640