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102371840 = 29539989
BaseRepresentation
bin1100001101000…
…01001000000000
321010122000202122
412012201020000
5202201344330
614054103412
72352101114
oct606411000
9233560678
10102371840
115287152a
122a34ab68
131829426c
14d84b744
158ec25e5
hex61a1200

102371840 has 40 divisors (see below), whose sum is σ = 245458620. Its totient is φ = 40947712.

The previous prime is 102371839. The next prime is 102371879. The reversal of 102371840 is 48173201.

It can be written as a sum of positive squares in 2 ways, for example, as 95570176 + 6801664 = 9776^2 + 2608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17435 + ... + 22554.

Almost surely, 2102371840 is an apocalyptic number.

102371840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102371840 is an abundant number, since it is smaller than the sum of its proper divisors (143086780).

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

102371840 is an frugal number, since it uses more digits than its factorization.

102371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40012 (or 39996 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 102371840 is about 10117.8970146963. The cubic root of 102371840 is about 467.7999485888.

The spelling of 102371840 in words is "one hundred two million, three hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 39989 79978 159956 199945 319912 399890 639824 799780 1279648 1599560 2559296 3199120 5118592 6398240 10237184 12796480 20474368 25592960 51185920 102371840