Search a number
-
+
99100640 = 2551274877
BaseRepresentation
bin1011110100000…
…10011111100000
320220110211112002
411322002133200
5200332210030
613500023132
72312225102
oct572023740
9226424462
1099100640
1150a37861
1229231aa8
13176ba342
14d239572
158a78245
hex5e827e0

99100640 has 48 divisors (see below), whose sum is σ = 236017152. Its totient is φ = 39320064.

The previous prime is 99100601. The next prime is 99100679. The reversal of 99100640 is 4600199.

It is an interprime number because it is at equal distance from previous prime (99100601) and next prime (99100679).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17882 + ... + 22758.

It is an arithmetic number, because the mean of its divisors is an integer number (4917024).

Almost surely, 299100640 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 99100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118008576).

99100640 is an abundant number, since it is smaller than the sum of its proper divisors (136916512).

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

99100640 is a wasteful number, since it uses less digits than its factorization.

99100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 99100640 is about 9954.9304367233. The cubic root of 99100640 is about 462.7632044576.

The spelling of 99100640 in words is "ninety-nine million, one hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 4877 5080 9754 10160 19508 20320 24385 39016 48770 78032 97540 156064 195080 390160 619379 780320 1238758 2477516 3096895 4955032 6193790 9910064 12387580 19820128 24775160 49550320 99100640