Search a number
-
+
99907020 = 2235561337
BaseRepresentation
bin1011111010001…
…11010111001100
320221222210200000
411331013113030
5201034011040
613525204300
72322124053
oct575072714
9227883600
1099907020
1151438694
1229560690
13179103a5
14d3a939a
158b87130
hex5f475cc

99907020 has 144 divisors (see below), whose sum is σ = 320375328. Its totient is φ = 26127360.

The previous prime is 99906979. The next prime is 99907051. The reversal of 99907020 is 2070999.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296292 + ... + 296628.

Almost surely, 299907020 is an apocalyptic number.

99907020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99907020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160187664).

99907020 is an abundant number, since it is smaller than the sum of its proper divisors (220468308).

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

99907020 is a wasteful number, since it uses less digits than its factorization.

99907020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 99907020 is about 9995.3499188373. The cubic root of 99907020 is about 464.0149804418.

The spelling of 99907020 in words is "ninety-nine million, nine hundred seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 243 244 270 305 324 337 366 405 486 540 549 610 674 732 810 915 972 1011 1098 1215 1220 1348 1620 1647 1685 1830 2022 2196 2430 2745 3033 3294 3370 3660 4044 4860 4941 5055 5490 6066 6588 6740 8235 9099 9882 10110 10980 12132 14823 15165 16470 18198 19764 20220 20557 24705 27297 29646 30330 32940 36396 41114 45495 49410 54594 59292 60660 61671 74115 81891 82228 90990 98820 102785 109188 123342 136485 148230 163782 181980 185013 205570 246684 272970 296460 308355 327564 370026 409455 411140 545940 555039 616710 740052 818910 925065 1110078 1233420 1637820 1665117 1850130 2220156 2775195 3330234 3700260 4995351 5550390 6660468 8325585 9990702 11100780 16651170 19981404 24976755 33302340 49953510 99907020