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99130240 = 2751114081
BaseRepresentation
bin1011110100010…
…01101110000000
320220112100010101
411322021232000
5200334131430
613500412144
72312410306
oct572115600
9226470111
1099130240
1150a58020
1229247054
13176ca961
14d246276
158a81dca
hex5e89b80

99130240 has 64 divisors (see below), whose sum is σ = 258545520. Its totient is φ = 36044800.

The previous prime is 99130181. The next prime is 99130259. The reversal of 99130240 is 4203199.

It is a happy number.

99130240 is a nontrivial binomial coefficient, being equal to C(14081, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 99130199 and 99130208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 14080.

Almost surely, 299130240 is an apocalyptic number.

99130240 is the 14080-th triangular number.

99130240 is the 4694-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129272760).

99130240 is an abundant number, since it is smaller than the sum of its proper divisors (159415280).

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

99130240 is a wasteful number, since it uses less digits than its factorization.

99130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111 (or 14099 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 99130240 is about 9956.4170262198. The cubic root of 99130240 is about 462.8092735421.

The spelling of 99130240 in words is "ninety-nine million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 14081 28162 56324 70405 112648 140810 154891 225296 281620 309782 450592 563240 619564 774455 901184 1126480 1239128 1548910 1802368 2252960 2478256 3097820 4505920 4956512 6195640 9011840 9913024 12391280 19826048 24782560 49565120 99130240