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101246720 = 28583953
BaseRepresentation
bin1100000100011…
…10011100000000
321001111212101112
412002032130000
5201404343340
614014022452
72336403641
oct602163400
9231455345
10101246720
1152173183
1229aa7a28
1317c8c103
14d6376c8
158d4e065
hex608e700

101246720 has 72 divisors (see below), whose sum is σ = 245696976. Its totient is φ = 39968768.

The previous prime is 101246669. The next prime is 101246729. The reversal of 101246720 is 27642101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101246729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105764 + ... + 106716.

It is an arithmetic number, because the mean of its divisors is an integer number (3412458).

Almost surely, 2101246720 is an apocalyptic number.

101246720 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 101246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122848488).

101246720 is an abundant number, since it is smaller than the sum of its proper divisors (144450256).

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

101246720 is an frugal number, since it uses more digits than its factorization.

101246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 101246720 is about 10062.1429129187. The cubic root of 101246720 is about 466.0798428893.

Adding to 101246720 its reverse (27642101), we get a palindrome (128888821).

The spelling of 101246720 in words is "one hundred one million, two hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 640 664 830 953 1280 1328 1660 1906 2656 3320 3812 4765 5312 6640 7624 9530 10624 13280 15248 19060 21248 26560 30496 38120 53120 60992 76240 79099 106240 121984 152480 158198 243968 304960 316396 395495 609920 632792 790990 1219840 1265584 1581980 2531168 3163960 5062336 6327920 10124672 12655840 20249344 25311680 50623360 101246720