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100423232 = 2671343401
BaseRepresentation
bin1011111110001…
…01011001000000
320222222000202222
411333011121000
5201202020412
613544230212
72326404050
oct577053100
9228860688
10100423232
1151760508
122976b368
1317a61340
14d4a1560
158c3a072
hex5fc5640

100423232 has 112 divisors (see below), whose sum is σ = 251594112. Its totient is φ = 38707200.

The previous prime is 100423231. The next prime is 100423241. The reversal of 100423232 is 232324001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 100423232.

It is not an unprimeable number, because it can be changed into a prime (100423231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250232 + ... + 250632.

It is an arithmetic number, because the mean of its divisors is an integer number (2246376).

Almost surely, 2100423232 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 100423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125797056).

100423232 is an abundant number, since it is smaller than the sum of its proper divisors (151170880).

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

100423232 is a wasteful number, since it uses less digits than its factorization.

100423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 100423232 is about 10021.1392565915. The cubic root of 100423232 is about 464.8127846956.

Adding to 100423232 its reverse (232324001), we get a palindrome (332747233).

The spelling of 100423232 in words is "one hundred million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 64 86 91 104 112 172 182 208 224 301 344 364 401 416 448 559 602 688 728 802 832 1118 1204 1376 1456 1604 2236 2408 2752 2807 2912 3208 3913 4472 4816 5213 5614 5824 6416 7826 8944 9632 10426 11228 12832 15652 17243 17888 19264 20852 22456 25664 31304 34486 35776 36491 41704 44912 62608 68972 72982 83408 89824 120701 125216 137944 145964 166816 179648 224159 241402 250432 275888 291928 333632 448318 482804 551776 583856 896636 965608 1103552 1167712 1569113 1793272 1931216 2335424 3138226 3586544 3862432 6276452 7173088 7724864 12552904 14346176 25105808 50211616 100423232