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100423960 = 23571347587
BaseRepresentation
bin1011111110001…
…01100100011000
320222222001202221
411333011210120
5201202031320
613544233424
72326406140
oct577054430
9228861687
10100423960
115176100a
122976b874
1317a61780
14d4a1920
158c3a3aa
hex5fc5918

100423960 has 128 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 31053312.

The previous prime is 100423943. The next prime is 100423969. The reversal of 100423960 is 69324001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100423969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170787 + ... + 171373.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2100423960 is an apocalyptic number.

100423960 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 100423960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

100423960 is an abundant number, since it is smaller than the sum of its proper divisors (184073960).

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

100423960 is a wasteful number, since it uses less digits than its factorization.

100423960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 100423960 is about 10021.1755797411. The cubic root of 100423960 is about 464.8139078849.

Adding to 100423960 its reverse (69324001), we get a palindrome (169747961).

It can be divided in two parts, 1004 and 23960, that added together give a square (24964 = 1582).

The spelling of 100423960 in words is "one hundred million, four hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 47 52 56 65 70 91 94 104 130 140 182 188 235 260 280 329 364 376 455 470 520 587 611 658 728 910 940 1174 1222 1316 1645 1820 1880 2348 2444 2632 2935 3055 3290 3640 4109 4277 4696 4888 5870 6110 6580 7631 8218 8554 11740 12220 13160 15262 16436 17108 20545 21385 23480 24440 27589 30524 32872 34216 38155 41090 42770 53417 55178 61048 76310 82180 85540 106834 110356 137945 152620 164360 171080 193123 213668 220712 267085 275890 305240 358657 386246 427336 534170 551780 717314 772492 965615 1068340 1103560 1434628 1544984 1793285 1931230 2136680 2510599 2869256 3586570 3862460 5021198 7173140 7724920 10042396 12552995 14346280 20084792 25105990 50211980 100423960