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146099940 = 223571073251
BaseRepresentation
bin10001011010101…
…00111011100100
3101011220122102220
420231110323210
5244400144230
622255232340
73422554230
oct1055247344
9334818386
10146099940
1175519058
1240b186b0
132436498c
14155915c0
15cc5dd10
hex8b54ee4

146099940 has 96 divisors (see below), whose sum is σ = 472034304. Its totient is φ = 33072000.

The previous prime is 146099929. The next prime is 146099957. The reversal of 146099940 is 49990641.

146099940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1460999403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 146099892 and 146099901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43315 + ... + 46565.

It is an arithmetic number, because the mean of its divisors is an integer number (4917024).

Almost surely, 2146099940 is an apocalyptic number.

146099940 is a gapful number since it is divisible by the number (10) 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 146099940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236017152).

146099940 is an abundant number, since it is smaller than the sum of its proper divisors (325934364).

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

146099940 is a wasteful number, since it uses less digits than its factorization.

146099940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 146099940 is about 12087.1808127454. The cubic root of 146099940 is about 526.6838633136.

The spelling of 146099940 in words is "one hundred forty-six million, ninety-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2996 3210 3251 3745 4494 6420 6502 7490 8988 9753 11235 13004 14980 16255 19506 22470 22757 32510 39012 44940 45514 48765 65020 68271 91028 97530 113785 136542 195060 227570 273084 341355 347857 455140 682710 695714 1043571 1365420 1391428 1739285 2087142 2434999 3478570 4174284 4869998 5217855 6957140 7304997 9739996 10435710 12174995 14609994 20871420 24349990 29219988 36524985 48699980 73049970 146099940