Search a number
-
+
100940544 = 2832193227
BaseRepresentation
bin1100000010000…
…11101100000000
321000221022101200
412001003230000
5201320044134
614003301200
72333660205
oct601035400
9230838350
10100940544
1151a84141
122997a800
1317bb2943
14d597cac
158cdd499
hex6043b00

100940544 has 108 divisors (see below), whose sum is σ = 293833176. Its totient is φ = 33325056.

The previous prime is 100940513. The next prime is 100940579. The reversal of 100940544 is 445049001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444559 + ... + 444785.

Almost surely, 2100940544 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 100940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146916588).

100940544 is an abundant number, since it is smaller than the sum of its proper divisors (192892632).

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

100940544 is a wasteful number, since it uses less digits than its factorization.

100940544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100940544 is about 10046.9171391029. The cubic root of 100940544 is about 465.6095509431.

Adding to 100940544 its reverse (445049001), we get a palindrome (545989545).

The spelling of 100940544 in words is "one hundred million, nine hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 227 256 288 384 386 454 576 579 681 768 772 908 1152 1158 1362 1544 1737 1816 2043 2304 2316 2724 3088 3474 3632 4086 4632 5448 6176 6948 7264 8172 9264 10896 12352 13896 14528 16344 18528 21792 24704 27792 29056 32688 37056 43584 43811 49408 55584 58112 65376 74112 87168 87622 111168 130752 131433 148224 174336 175244 222336 261504 262866 350488 394299 444672 523008 525732 700976 788598 1051464 1401952 1577196 2102928 2803904 3154392 4205856 5607808 6308784 8411712 11215616 12617568 16823424 25235136 33646848 50470272 100940544