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102250640 = 2452361911
BaseRepresentation
bin1100001100000…
…11100010010000
321010101212111202
412012003202100
5202134010030
614051330332
72351054552
oct606034220
9233355452
10102250640
1152799468
122a2b09a8
131825104b
14d8194d2
158e9b745
hex6183890

102250640 has 80 divisors (see below), whose sum is σ = 252412416. Its totient is φ = 38438400.

The previous prime is 102250639. The next prime is 102250651. The reversal of 102250640 is 46052201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 111785 + ... + 112695.

Almost surely, 2102250640 is an apocalyptic number.

102250640 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 102250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126206208).

102250640 is an abundant number, since it is smaller than the sum of its proper divisors (150161776).

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

102250640 is a wasteful number, since it uses less digits than its factorization.

102250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102250640 is about 10111.9058539921. The cubic root of 102250640 is about 467.6152632185.

The spelling of 102250640 in words is "one hundred two million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 80 92 115 122 184 230 244 305 368 460 488 610 911 920 976 1220 1403 1822 1840 2440 2806 3644 4555 4880 5612 7015 7288 9110 11224 14030 14576 18220 20953 22448 28060 36440 41906 55571 56120 72880 83812 104765 111142 112240 167624 209530 222284 277855 335248 419060 444568 555710 838120 889136 1111420 1278133 1676240 2222840 2556266 4445680 5112532 6390665 10225064 12781330 20450128 25562660 51125320 102250640