Search a number
-
+
100620432 = 243211139457
BaseRepresentation
bin1011111111101…
…01100010010000
321000100001021200
411333311202100
5201224323212
613552351200
72331155013
oct577654220
9230301250
10100620432
1151885690
1229845500
1317b00023
14d51337a
158c786dc
hex5ff5890

100620432 has 120 divisors (see below), whose sum is σ = 310084320. Its totient is φ = 30205440.

The previous prime is 100620397. The next prime is 100620439. The reversal of 100620432 is 234026001.

It is a happy number.

100620432 is a `hidden beast` number, since 1 + 0 + 0 + 620 + 43 + 2 = 666.

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 (100620439) 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, 219948 + ... + 220404.

It is an arithmetic number, because the mean of its divisors is an integer number (2584036).

Almost surely, 2100620432 is an apocalyptic number.

100620432 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 100620432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155042160).

100620432 is an abundant number, since it is smaller than the sum of its proper divisors (209463888).

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

100620432 is a wasteful number, since it uses less digits than its factorization.

100620432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100620432 is about 10030.9736317069. The cubic root of 100620432 is about 465.1168350192.

Adding to 100620432 its reverse (234026001), we get a palindrome (334646433).

The spelling of 100620432 in words is "one hundred million, six hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 139 144 176 198 264 278 396 417 457 528 556 792 834 914 1112 1251 1371 1529 1584 1668 1828 2224 2502 2742 3058 3336 3656 4113 4587 5004 5027 5484 6116 6672 7312 8226 9174 10008 10054 10968 12232 13761 15081 16452 18348 20016 20108 21936 24464 27522 30162 32904 36696 40216 45243 55044 60324 63523 65808 73392 80432 90486 110088 120648 127046 180972 190569 220176 241296 254092 361944 381138 508184 571707 698753 723888 762276 1016368 1143414 1397506 1524552 2096259 2286828 2795012 3049104 4192518 4573656 5590024 6288777 8385036 9147312 11180048 12577554 16770072 25155108 33540144 50310216 100620432