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99340960 = 2551933217
BaseRepresentation
bin1011110101111…
…01001010100000
320220221001011211
411322331022200
5200412402320
613505115504
72314245535
oct572751240
9226831154
1099340960
1151091374
1229328b94
1317772844
14d29cd8c
158ac455a
hex5ebd2a0

99340960 has 48 divisors (see below), whose sum is σ = 235982376. Its totient is φ = 39518208.

The previous prime is 99340919. The next prime is 99340963. The reversal of 99340960 is 6904399.

It can be written as a sum of positive squares in 4 ways, for example, as 86638864 + 12702096 = 9308^2 + 3564^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (99340963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29272 + ... + 32488.

Almost surely, 299340960 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 99340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117991188).

99340960 is an abundant number, since it is smaller than the sum of its proper divisors (136641416).

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

99340960 is a wasteful number, since it uses less digits than its factorization.

99340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 99340960 is about 9966.9935286424. The cubic root of 99340960 is about 463.1369708903.

The spelling of 99340960 in words is "ninety-nine million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 3088 3217 3860 6176 6434 7720 12868 15440 16085 25736 30880 32170 51472 64340 102944 128680 257360 514720 620881 1241762 2483524 3104405 4967048 6208810 9934096 12417620 19868192 24835240 49670480 99340960