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99942400 = 2165261
BaseRepresentation
bin1011111010100…
…00000000000000
320222001121012101
411331100000000
5201041124100
613530040144
72322332155
oct575200000
9228047171
1099942400
1151462228
1229579054
131792351c
14d3b822c
158b9286a
hex5f50000

99942400 has 102 divisors (see below), whose sum is σ = 251918462. Its totient is φ = 39321600.

The previous prime is 99942397. The next prime is 99942407. The reversal of 99942400 is 424999.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 99680256 = 512^2 + 9984^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 99942400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99942407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638370 + ... + 1638430.

Almost surely, 299942400 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 99942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125959231).

99942400 is an abundant number, since it is smaller than the sum of its proper divisors (151976062).

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

99942400 is an frugal number, since it uses more digits than its factorization.

99942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 99942400 is about 9997.1195851605. The cubic root of 99942400 is about 464.0697477394.

The spelling of 99942400 in words is "ninety-nine million, nine hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 128 160 200 244 256 305 320 400 488 512 610 640 800 976 1024 1220 1280 1525 1600 1952 2048 2440 2560 3050 3200 3904 4096 4880 5120 6100 6400 7808 8192 9760 10240 12200 12800 15616 16384 19520 20480 24400 25600 31232 32768 39040 40960 48800 51200 62464 65536 78080 81920 97600 102400 124928 156160 163840 195200 204800 249856 312320 327680 390400 409600 499712 624640 780800 819200 999424 1249280 1561600 1638400 1998848 2498560 3123200 3997696 4997120 6246400 9994240 12492800 19988480 24985600 49971200 99942400