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146143116 = 2235747457
BaseRepresentation
bin10001011010111…
…11011110001100
3101011222211200000
420231133132030
5244403034431
622300204300
73423124140
oct1055373614
9334884600
10146143116
1175548539
1240b39690
132437b522
14155a3220
15cc6b9e6
hex8b5f78c

146143116 has 144 divisors (see below), whose sum is σ = 448121856. Its totient is φ = 40777344.

The previous prime is 146143103. The next prime is 146143133. The reversal of 146143116 is 611341641.

146143116 is a `hidden beast` number, since 1 + 4 + 614 + 31 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146143116.

It is a congruent number.

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, 319560 + ... + 320016.

Almost surely, 2146143116 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 146143116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224060928).

146143116 is an abundant number, since it is smaller than the sum of its proper divisors (301978740).

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

146143116 is a wasteful number, since it uses less digits than its factorization.

146143116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 146143116 is about 12088.9667052234. The cubic root of 146143116 is about 526.7357407311.

Adding to 146143116 its reverse (611341641), we get a palindrome (757484757).

The spelling of 146143116 in words is "one hundred forty-six million, one hundred forty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 81 84 94 108 126 141 162 188 189 243 252 282 324 329 378 423 457 486 564 567 658 756 846 914 972 987 1134 1269 1316 1371 1692 1701 1828 1974 2268 2538 2742 2961 3199 3402 3807 3948 4113 5076 5484 5922 6398 6804 7614 8226 8883 9597 11421 11844 12339 12796 15228 16452 17766 19194 21479 22842 24678 26649 28791 35532 37017 38388 42958 45684 49356 53298 57582 64437 74034 79947 85916 86373 106596 111051 115164 128874 148068 150353 159894 172746 193311 222102 257748 259119 300706 319788 345492 386622 444204 451059 518238 579933 601412 773244 777357 902118 1036476 1159866 1353177 1554714 1739799 1804236 2319732 2706354 3109428 3479598 4059531 5219397 5412708 6959196 8119062 10438794 12178593 16238124 20877588 24357186 36535779 48714372 73071558 146143116