Search a number
-
+
100366332 = 2231129157167
BaseRepresentation
bin1011111101101…
…11011111111100
320222212010201120
411332313133330
5201143210312
613543110540
72326046133
oct576673774
9228763646
10100366332
1151721790
1229742450
1317a41481
14d48891a
158c2828c
hex5fb77fc

100366332 has 96 divisors (see below), whose sum is σ = 267563520. Its totient is φ = 29003520.

The previous prime is 100366327. The next prime is 100366333. The reversal of 100366332 is 233663001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100366333) 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, 600913 + ... + 601079.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 2100366332 is an apocalyptic number.

100366332 is a gapful number since it is divisible by the number (12) 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 100366332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133781760).

100366332 is an abundant number, since it is smaller than the sum of its proper divisors (167197188).

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

100366332 is a wasteful number, since it uses less digits than its factorization.

100366332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 100366332 is about 10018.2998557640. The cubic root of 100366332 is about 464.7249801653.

The spelling of 100366332 in words is "one hundred million, three hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 157 167 174 314 319 334 348 471 501 628 638 668 942 957 1002 1276 1727 1837 1884 1914 2004 3454 3674 3828 4553 4843 5181 5511 6908 7348 9106 9686 10362 11022 13659 14529 18212 19372 20724 22044 26219 27318 29058 50083 52438 53273 54636 58116 78657 100166 104876 106546 150249 157314 159819 200332 213092 288409 300498 314628 319638 576818 600996 639276 760351 865227 1153636 1520702 1730454 2281053 3041404 3460908 4562106 8363861 9124212 16727722 25091583 33455444 50183166 100366332