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100412424 = 233271671193
BaseRepresentation
bin1011111110000…
…10110000001000
320222221110221200
411333002300020
5201201144144
613544104200
72326330410
oct577026010
9228843850
10100412424
1151753382
1229765060
1317a59448
14d49b640
158c36c69
hex5fc2c08

100412424 has 96 divisors (see below), whose sum is σ = 312923520. Its totient is φ = 28493568.

The previous prime is 100412419. The next prime is 100412437. The reversal of 100412424 is 424214001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100412397 and 100412406.

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, 83572 + ... + 84764.

It is an arithmetic number, because the mean of its divisors is an integer number (3259620).

Almost surely, 2100412424 is an apocalyptic number.

100412424 is a gapful number since it is divisible by the number (14) 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 100412424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156461760).

100412424 is an abundant number, since it is smaller than the sum of its proper divisors (212511096).

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

100412424 is a wasteful number, since it uses less digits than its factorization.

100412424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100412424 is about 10020.5999820370. The cubic root of 100412424 is about 464.7961090164.

Adding to 100412424 its reverse (424214001), we get a palindrome (524626425).

The spelling of 100412424 in words is "one hundred million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 167 168 252 334 501 504 668 1002 1169 1193 1336 1503 2004 2338 2386 3006 3507 3579 4008 4676 4772 6012 7014 7158 8351 9352 9544 10521 10737 12024 14028 14316 16702 21042 21474 25053 28056 28632 33404 42084 42948 50106 66808 75159 84168 85896 100212 150318 199231 200424 300636 398462 597693 601272 796924 1195386 1394617 1593848 1793079 2390772 2789234 3586158 4183851 4781544 5578468 7172316 8367702 11156936 12551553 14344632 16735404 25103106 33470808 50206212 100412424