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100023140 = 2257739787
BaseRepresentation
bin1011111011000…
…11101101100100
320222012200221202
411331203231210
5201101220030
613531502032
72323116440
oct575435544
9228180852
10100023140
1151507958
12295b7918
13179511b9
14d3d9820
158bab745
hex5f63b64

100023140 has 48 divisors (see below), whose sum is σ = 243368832. Its totient is φ = 33820416.

The previous prime is 100023139. The next prime is 100023221. The reversal of 100023140 is 41320001.

It is a happy number.

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, 5327 + ... + 15113.

It is an arithmetic number, because the mean of its divisors is an integer number (5070184).

Almost surely, 2100023140 is an apocalyptic number.

100023140 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 100023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121684416).

100023140 is an abundant number, since it is smaller than the sum of its proper divisors (143345692).

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

100023140 is a wasteful number, since it uses less digits than its factorization.

100023140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9876 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100023140 is about 10001.1569330753. The cubic root of 100023140 is about 464.1946827220.

Adding to 100023140 its reverse (41320001), we get a palindrome (141343141).

The spelling of 100023140 in words is "one hundred million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 9787 10220 19574 39148 48935 68509 97870 137018 195740 274036 342545 685090 714451 1370180 1428902 2857804 3572255 5001157 7144510 10002314 14289020 20004628 25005785 50011570 100023140