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149456340 = 22345118387
BaseRepresentation
bin10001110100010…
…00010111010100
3101102020011120000
420322020113110
5301230100330
622455211300
73463233525
oct1072102724
9342204500
10149456340
1177400840
1242076b30
1324c6b607
1415bc684c
15d1c3560
hex8e885d4

149456340 has 120 divisors (see below), whose sum is σ = 511533792. Its totient is φ = 36227520.

The previous prime is 149456311. The next prime is 149456341. The reversal of 149456340 is 43654941.

149456340 is a `hidden beast` number, since 1 + 4 + 94 + 563 + 4 + 0 = 666.

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 = 149456295 and 149456304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149456341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13627 + ... + 22013.

Almost surely, 2149456340 is an apocalyptic number.

149456340 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 149456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255766896).

149456340 is an abundant number, since it is smaller than the sum of its proper divisors (362077452).

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

149456340 is a wasteful number, since it uses less digits than its factorization.

149456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 149456340 is about 12225.2337400968. The cubic root of 149456340 is about 530.6865908854.

The spelling of 149456340 in words is "one hundred forty-nine million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8387 8910 16774 17820 25161 33548 41935 50322 75483 83870 92257 100644 125805 150966 167740 184514 226449 251610 276771 301932 369028 377415 452898 461285 503220 553542 679347 754830 830313 905796 922570 1107084 1132245 1358694 1383855 1509660 1660626 1845140 2264490 2490939 2717388 2767710 3321252 3396735 4151565 4528980 4981878 5535420 6793470 7472817 8303130 9963756 12454695 13586940 14945634 16606260 24909390 29891268 37364085 49818780 74728170 149456340