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100024240 = 2452354361
BaseRepresentation
bin1011111011000…
…11111110110000
320222012202110111
411331203332300
5201101233430
613531511104
72323122601
oct575437660
9228182414
10100024240
1151508768
12295b8494
1317951854
14d3d9da8
158babc2a
hex5f63fb0

100024240 has 40 divisors (see below), whose sum is σ = 242671968. Its totient is φ = 38269440.

The previous prime is 100024207. The next prime is 100024241. The reversal of 100024240 is 42420001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100024240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100024241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25341 + ... + 29020.

Almost surely, 2100024240 is an apocalyptic number.

100024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100024240 is an abundant number, since it is smaller than the sum of its proper divisors (142647728).

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

100024240 is a wasteful number, since it uses less digits than its factorization.

100024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54397 (or 54391 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 100024240 is about 10001.2119265617. The cubic root of 100024240 is about 464.1963843691.

Adding to 100024240 its reverse (42420001), we get a palindrome (142444241).

The spelling of 100024240 in words is "one hundred million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 54361 108722 217444 271805 434888 543610 869776 1087220 1250303 2174440 2500606 4348880 5001212 6251515 10002424 12503030 20004848 25006060 50012120 100024240