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100497042 = 23219457643
BaseRepresentation
bin1011111110101…
…11011010010010
321000002210000200
411333113122102
5201211401132
613550000030
72330132202
oct577273222
9230083020
10100497042
1151800a08
12297a6016
1317a88b09
14d4c0402
158c51d7c
hex5fd7692

100497042 has 48 divisors (see below), whose sum is σ = 230062560. Its totient is φ = 31617216.

The previous prime is 100497041. The next prime is 100497053. The reversal of 100497042 is 240794001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100496997 and 100497015.

It is not an unprimeable number, because it can be changed into a prime (100497041) 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 23 ways as a sum of consecutive naturals, for example, 155973 + ... + 156615.

It is an arithmetic number, because the mean of its divisors is an integer number (4792970).

Almost surely, 2100497042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100497042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115031280).

100497042 is an abundant number, since it is smaller than the sum of its proper divisors (129565518).

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

100497042 is a wasteful number, since it uses less digits than its factorization.

100497042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100497042 is about 10024.8212951653. The cubic root of 100497042 is about 464.9266342803.

The spelling of 100497042 in words is "one hundred million, four hundred ninety-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 457 643 914 1286 1371 1929 2742 3858 4113 5787 8226 8683 11574 12217 17366 24434 26049 36651 52098 73302 78147 109953 156294 219906 293851 587702 881553 1763106 2644659 5289318 5583169 11166338 16749507 33499014 50248521 100497042