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100487988 = 223231127709
BaseRepresentation
bin1011111110101…
…01001100110100
321000002022121100
411333111030310
5201211103423
613545450100
72330063616
oct577251464
9230068540
10100487988
11517a5127
12297a0930
1317a84963
14d4badb6
158c4e343
hex5fd5334

100487988 has 72 divisors (see below), whose sum is σ = 264642560. Its totient is φ = 32114880.

The previous prime is 100487983. The next prime is 100487999. The reversal of 100487988 is 889784001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100487983) 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, 141378 + ... + 142086.

Almost surely, 2100487988 is an apocalyptic number.

100487988 is a gapful number since it is divisible by the number (18) 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 100487988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132321280).

100487988 is an abundant number, since it is smaller than the sum of its proper divisors (164154572).

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

100487988 is a wasteful number, since it uses less digits than its factorization.

100487988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 100487988 is about 10024.3697058718. The cubic root of 100487988 is about 464.9126717726.

It can be divided in two parts, 100487 and 988, that added together give a triangular number (101475 = T450).

The spelling of 100487988 in words is "one hundred million, four hundred eighty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 127 186 254 279 372 381 508 558 709 762 1116 1143 1418 1524 2127 2286 2836 3937 4254 4572 6381 7874 8508 11811 12762 15748 21979 23622 25524 35433 43958 47244 65937 70866 87916 90043 131874 141732 180086 197811 263748 270129 360172 395622 540258 791244 810387 1080516 1620774 2791333 3241548 5582666 8373999 11165332 16747998 25121997 33495996 50243994 100487988