Search a number
-
+
100774296 = 23327792531
BaseRepresentation
bin1100000000110…
…11000110011000
321000121212100100
412000123012120
5201244234141
613555535400
72332365420
oct600330630
9230555310
10100774296
1151980247
12298ba560
1317b5507c
14d553480
158ca90b6
hex601b198

100774296 has 96 divisors (see below), whose sum is σ = 315993600. Its totient is φ = 28416960.

The previous prime is 100774279. The next prime is 100774307. The reversal of 100774296 is 692477001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100774296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38551 + ... + 41081.

It is an arithmetic number, because the mean of its divisors is an integer number (3291600).

Almost surely, 2100774296 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 100774296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157996800).

100774296 is an abundant number, since it is smaller than the sum of its proper divisors (215219304).

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

100774296 is a wasteful number, since it uses less digits than its factorization.

100774296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 100774296 is about 10038.6401469522. The cubic root of 100774296 is about 465.3537924921.

The spelling of 100774296 in words is "one hundred million, seven hundred seventy-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2531 2844 3318 4424 4977 5062 5688 6636 7593 9954 10124 13272 15186 17717 19908 20248 22779 30372 35434 39816 45558 53151 60744 70868 91116 106302 141736 159453 182232 199949 212604 318906 399898 425208 599847 637812 799796 1199694 1275624 1399643 1599592 1799541 2399388 2799286 3599082 4198929 4798776 5598572 7198164 8397858 11197144 12596787 14396328 16795716 25193574 33591432 50387148 100774296