Search a number
-
+
99401940 = 223251161823
BaseRepresentation
bin1011110110011…
…00000011010100
320221001010211100
411323030003110
5200421330230
613510310100
72314621401
oct573140324
9227033740
1099401940
1151123170
1229358330
1317794521
14d2b72a8
158ad7660
hex5ecc0d4

99401940 has 144 divisors (see below), whose sum is σ = 334728576. Its totient is φ = 23673600.

The previous prime is 99401899. The next prime is 99401947. The reversal of 99401940 is 4910499.

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

It is a junction number, because it is equal to n+sod(n) for n = 99401895 and 99401904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99401947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120369 + ... + 121191.

It is an arithmetic number, because the mean of its divisors is an integer number (2324504).

Almost surely, 299401940 is an apocalyptic number.

99401940 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 99401940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167364288).

99401940 is an abundant number, since it is smaller than the sum of its proper divisors (235326636).

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

99401940 is a wasteful number, since it uses less digits than its factorization.

99401940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99401940 is about 9970.0521563330. The cubic root of 99401940 is about 463.2317163531.

The spelling of 99401940 in words is "ninety-nine million, four hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 823 915 990 1098 1220 1342 1646 1830 1980 2013 2196 2469 2684 2745 3292 3355 3660 4026 4115 4938 5490 6039 6710 7407 8052 8230 9053 9876 10065 10980 12078 12345 13420 14814 16460 18106 20130 24156 24690 27159 29628 30195 36212 37035 40260 45265 49380 50203 54318 60390 74070 81477 90530 100406 108636 120780 135795 148140 150609 162954 181060 200812 251015 271590 301218 325908 407385 451827 502030 543180 552233 602436 753045 814770 903654 1004060 1104466 1506090 1629540 1656699 1807308 2208932 2259135 2761165 3012180 3313398 4518270 4970097 5522330 6626796 8283495 9036540 9940194 11044660 16566990 19880388 24850485 33133980 49700970 99401940