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101028264 = 23341831237
BaseRepresentation
bin1100000010110…
…01000110101000
321001002202201120
412001121012220
5201330401024
614005215240
72334504021
oct601310650
9231082646
10101028264
1152034037
1229a01520
1317c1384c
14d5bbc48
158d09479
hex60591a8

101028264 has 64 divisors (see below), whose sum is σ = 262059840. Its totient is φ = 32432640.

The previous prime is 101028251. The next prime is 101028289. The reversal of 101028264 is 462820101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 81054 + ... + 82290.

It is an arithmetic number, because the mean of its divisors is an integer number (4094685).

Almost surely, 2101028264 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 101028264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131029920).

101028264 is an abundant number, since it is smaller than the sum of its proper divisors (161031576).

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

101028264 is a wasteful number, since it uses less digits than its factorization.

101028264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 101028264 is about 10051.2817093145. The cubic root of 101028264 is about 465.7443875594.

Adding to 101028264 its reverse (462820101), we get a palindrome (563848365).

The spelling of 101028264 in words is "one hundred one million, twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 83 123 164 166 246 249 328 332 492 498 664 984 996 1237 1992 2474 3403 3711 4948 6806 7422 9896 10209 13612 14844 20418 27224 29688 40836 50717 81672 101434 102671 152151 202868 205342 304302 308013 405736 410684 608604 616026 821368 1217208 1232052 2464104 4209511 8419022 12628533 16838044 25257066 33676088 50514132 101028264