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101230640 = 2457414409
BaseRepresentation
bin1100000100010…
…10100000110000
321001111001022222
412002022200300
5201403340030
614013420212
72336306030
oct602124060
9231431288
10101230640
1152162095
1229a9a668
1317c849b4
14d6318c0
158d493e5
hex608a830

101230640 has 80 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 33853440.

The previous prime is 101230639. The next prime is 101230663. The reversal of 101230640 is 46032101.

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

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, 20756 + ... + 25164.

It is an arithmetic number, because the mean of its divisors is an integer number (3445092).

Almost surely, 2101230640 is an apocalyptic number.

101230640 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 101230640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

101230640 is an abundant number, since it is smaller than the sum of its proper divisors (174376720).

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

101230640 is a wasteful number, since it uses less digits than its factorization.

101230640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4464 counting only the distinct ones).

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

The square root of 101230640 is about 10061.3438466241. The cubic root of 101230640 is about 466.0551673223.

Adding to 101230640 its reverse (46032101), we get a palindrome (147262741).

The spelling of 101230640 in words is "one hundred one million, two hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4409 4592 5740 8818 11480 17636 22045 22960 30863 35272 44090 61726 70544 88180 123452 154315 176360 180769 246904 308630 352720 361538 493808 617260 723076 903845 1234520 1265383 1446152 1807690 2469040 2530766 2892304 3615380 5061532 6326915 7230760 10123064 12653830 14461520 20246128 25307660 50615320 101230640