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100630764 = 2232131911317
BaseRepresentation
bin1011111111110…
…00000011101100
321000100120110100
411333320003230
5201230141024
613552511100
72331230103
oct577700354
9230316410
10100630764
1151892423
122984b490
1317b04940
14d51703a
158c7b7c9
hex5ff80ec

100630764 has 72 divisors (see below), whose sum is σ = 288382640. Its totient is φ = 29331072.

The previous prime is 100630763. The next prime is 100630771. The reversal of 100630764 is 467036001.

It is not an unprimeable number, because it can be changed into a prime (100630763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234 + ... + 14550.

Almost surely, 2100630764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100630764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144191320).

100630764 is an abundant number, since it is smaller than the sum of its proper divisors (187751876).

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

100630764 is a wasteful number, since it uses less digits than its factorization.

100630764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11359 (or 11354 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 100630764 is about 10031.4886233300. The cubic root of 100630764 is about 465.1327543263.

Adding to 100630764 its reverse (467036001), we get a palindrome (567666765).

The spelling of 100630764 in words is "one hundred million, six hundred thirty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 11317 22634 33951 45268 67902 101853 135804 147121 203706 215023 294242 407412 430046 441363 588484 645069 860092 882726 1290138 1324089 1765452 1935207 2580276 2648178 2795299 3870414 5296356 5590598 7740828 8385897 11181196 16771794 25157691 33543588 50315382 100630764