Search a number
-
+
99018240 = 293512893
BaseRepresentation
bin1011110011011…
…10011000000000
320220022122111020
411321232120000
5200322040430
613454145440
72311432626
oct571563000
9226278436
1099018240
1150990962
12291b2280
131768b999
14d217516
158a5db10
hex5e6e600

99018240 has 80 divisors (see below), whose sum is σ = 316573488. Its totient is φ = 26402816.

The previous prime is 99018223. The next prime is 99018259. The reversal of 99018240 is 4281099.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×990182402 = 19609223705395200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1234 + ... + 14126.

Almost surely, 299018240 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 99018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158286744).

99018240 is an abundant number, since it is smaller than the sum of its proper divisors (217555248).

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

99018240 is a wasteful number, since it uses less digits than its factorization.

99018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12919 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 99018240 is about 9950.7909233387. The cubic root of 99018240 is about 462.6349097547.

The spelling of 99018240 in words is "ninety-nine million, eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 12893 25786 38679 51572 64465 77358 103144 128930 154716 193395 206288 257860 309432 386790 412576 515720 618864 773580 825152 1031440 1237728 1547160 1650304 2062880 2475456 3094320 3300608 4125760 4950912 6188640 6601216 8251520 9901824 12377280 16503040 19803648 24754560 33006080 49509120 99018240