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100423440 = 243251310729
BaseRepresentation
bin1011111110001…
…01011100010000
320222222001001200
411333011130100
5201202022230
613544231200
72326404465
oct577053420
9228861050
10100423440
1151760687
122976b500
1317a61470
14d4a166c
158c3a160
hex5fc5710

100423440 has 120 divisors (see below), whose sum is σ = 363231960. Its totient is φ = 24717312.

The previous prime is 100423423. The next prime is 100423441. The reversal of 100423440 is 44324001.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 94012416 = 2532^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100423441) 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, 3996 + ... + 14724.

It is an arithmetic number, because the mean of its divisors is an integer number (3026933).

Almost surely, 2100423440 is an apocalyptic number.

100423440 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 100423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181615980).

100423440 is an abundant number, since it is smaller than the sum of its proper divisors (262808520).

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

100423440 is a wasteful number, since it uses less digits than its factorization.

100423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10761 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100423440 is about 10021.1496346477. The cubic root of 100423440 is about 464.8131056074.

Adding to 100423440 its reverse (44324001), we get a palindrome (144747441).

The spelling of 100423440 in words is "one hundred million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 10729 21458 32187 42916 53645 64374 85832 96561 107290 128748 139477 160935 171664 193122 214580 257496 278954 321870 386244 418431 429160 482805 514992 557908 643740 697385 772488 836862 858320 965610 1115816 1255293 1287480 1394770 1544976 1673724 1931220 2092155 2231632 2510586 2574960 2789540 3347448 3862440 4184310 5021172 5579080 6276465 6694896 7724880 8368620 10042344 11158160 12552930 16737240 20084688 25105860 33474480 50211720 100423440