Search a number
-
+
99997240 = 23572163313
BaseRepresentation
bin1011111010111…
…01011000111000
320222011101102111
411331131120320
5201044402430
613531142104
72322651100
oct575353070
9228141374
1099997240
115149a452
12295a4934
1317942485
14d3d0200
158ba3c2a
hex5f5d638

99997240 has 96 divisors (see below), whose sum is σ = 264174480. Its totient is φ = 33965568.

The previous prime is 99997189. The next prime is 99997243. The reversal of 99997240 is 4279999.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99997243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319324 + ... + 319636.

Almost surely, 299997240 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 99997240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132087240).

99997240 is an abundant number, since it is smaller than the sum of its proper divisors (164177240).

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

99997240 is a wasteful number, since it uses less digits than its factorization.

99997240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

The square root of 99997240 is about 9999.8619990478. The cubic root of 99997240 is about 464.1546130603.

The spelling of 99997240 in words is "ninety-nine million, nine hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 163 196 245 280 313 326 392 490 626 652 815 980 1141 1252 1304 1565 1630 1960 2191 2282 2504 3130 3260 4382 4564 5705 6260 6520 7987 8764 9128 10955 11410 12520 15337 15974 17528 21910 22820 30674 31948 39935 43820 45640 51019 61348 63896 76685 79870 87640 102038 122696 153370 159740 204076 255095 306740 319480 357133 408152 510190 613480 714266 1020380 1428532 1785665 2040760 2499931 2857064 3571330 4999862 7142660 9999724 12499655 14285320 19999448 24999310 49998620 99997240