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99977620 = 22519307857
BaseRepresentation
bin1011111010110…
…00100110010100
320222010101111211
411331120212110
5201043240440
613530511204
72322536641
oct575304624
9228111454
1099977620
1151486736
1229595504
1317936572
14d3c6dc8
158b9ceea
hex5f58994

99977620 has 48 divisors (see below), whose sum is σ = 221981760. Its totient is φ = 37718784.

The previous prime is 99977617. The next prime is 99977621. The reversal of 99977620 is 2677999.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99977621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116232 + ... + 117088.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 299977620 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 99977620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110990880).

99977620 is an abundant number, since it is smaller than the sum of its proper divisors (122004140).

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

99977620 is a wasteful number, since it uses less digits than its factorization.

99977620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

The square root of 99977620 is about 9998.8809373849. The cubic root of 99977620 is about 464.1242545251.

The spelling of 99977620 in words is "ninety-nine million, nine hundred seventy-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 307 380 614 857 1228 1535 1714 3070 3428 4285 5833 6140 8570 11666 16283 17140 23332 29165 32566 58330 65132 81415 116660 162830 263099 325660 526198 1052396 1315495 2630990 4998881 5261980 9997762 19995524 24994405 49988810 99977620