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100601406 = 23329227283
BaseRepresentation
bin1011111111100…
…00111000111110
321000022002012000
411333300320332
5201223221111
613552123130
72331045363
oct577607076
9230262160
10100601406
1151872364
12298364a6
1317ac4479
14d50a46a
158c72c56
hex5ff0e3e

100601406 has 64 divisors (see below), whose sum is σ = 233107200. Its totient is φ = 32120928.

The previous prime is 100601387. The next prime is 100601407. The reversal of 100601406 is 604106001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100601407) 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, 355341 + ... + 355623.

It is an arithmetic number, because the mean of its divisors is an integer number (3642300).

Almost surely, 2100601406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100601406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116553600).

100601406 is an abundant number, since it is smaller than the sum of its proper divisors (132505794).

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

100601406 is a wasteful number, since it uses less digits than its factorization.

100601406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100601406 is about 10030.0252242953. The cubic root of 100601406 is about 465.0875173463.

Adding to 100601406 its reverse (604106001), we get a palindrome (704707407).

The spelling of 100601406 in words is "one hundred million, six hundred one thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 227 261 283 454 522 566 681 783 849 1362 1566 1698 2043 2547 4086 5094 6129 6583 7641 8207 12258 13166 15282 16414 19749 24621 39498 49242 59247 64241 73863 118494 128482 147726 177741 192723 221589 355482 385446 443178 578169 1156338 1734507 1862989 3469014 3725978 5588967 11177934 16766901 33533802 50300703 100601406