Search a number
-
+
99954560 = 275179187
BaseRepresentation
bin1011111010100…
…10111110000000
320222002012212202
411331102332000
5201042021220
613530212332
72322412466
oct575227600
9228065782
1099954560
1151470382
12295840a8
1317928c14
14d3bc836
158b96275
hex5f52f80

99954560 has 64 divisors (see below), whose sum is σ = 253037520. Its totient is φ = 37625856.

The previous prime is 99954559. The next prime is 99954563. The reversal of 99954560 is 6545999.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99954563) 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, 6287 + ... + 15473.

Almost surely, 299954560 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 99954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126518760).

99954560 is an abundant number, since it is smaller than the sum of its proper divisors (153082960).

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

99954560 is a wasteful number, since it uses less digits than its factorization.

99954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 47.

The square root of 99954560 is about 9997.7277418421. The cubic root of 99954560 is about 464.0885681109.

The spelling of 99954560 in words is "ninety-nine million, nine hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 9187 10880 18374 36748 45935 73496 91870 146992 156179 183740 293984 312358 367480 587968 624716 734960 780895 1175936 1249432 1469920 1561790 2498864 2939840 3123580 4997728 5879680 6247160 9995456 12494320 19990912 24988640 49977280 99954560