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100387404 = 223313127563
BaseRepresentation
bin1011111101111…
…00101001001100
320222220012122000
411332330221030
5201144344104
613543352300
72326164435
oct576745114
9228805560
10100387404
11517365a7
1229752690
1317a4ac40
14d49248c
158c2e639
hex5fbca4c

100387404 has 96 divisors (see below), whose sum is σ = 282992640. Its totient is φ = 30590784.

The previous prime is 100387403. The next prime is 100387411. The reversal of 100387404 is 404783001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100387403) 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, 178027 + ... + 178589.

It is an arithmetic number, because the mean of its divisors is an integer number (2947840).

Almost surely, 2100387404 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 100387404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141496320).

100387404 is an abundant number, since it is smaller than the sum of its proper divisors (182605236).

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

100387404 is a wasteful number, since it uses less digits than its factorization.

100387404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 100387404 is about 10019.3514760188. The cubic root of 100387404 is about 464.7575010294.

The spelling of 100387404 in words is "one hundred million, three hundred eighty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 127 156 234 254 351 381 468 508 563 702 762 1126 1143 1404 1524 1651 1689 2252 2286 3302 3378 3429 4572 4953 5067 6604 6756 6858 7319 9906 10134 13716 14638 14859 15201 19812 20268 21957 29276 29718 30402 43914 44577 59436 60804 65871 71501 87828 89154 131742 143002 178308 197613 214503 263484 286004 395226 429006 643509 790452 858012 929513 1287018 1859026 1930527 2574036 2788539 3718052 3861054 5577078 7722108 8365617 11154156 16731234 25096851 33462468 50193702 100387404