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149310480 = 243511232459
BaseRepresentation
bin10001110011001…
…00110000010000
3101101221202110210
420321210300100
5301210413410
622452124120
73462055344
oct1071446020
9341852423
10149310480
11773111a0
1242006640
1324c1a0c7
1415b89624
15d195220
hex8e64c10

149310480 has 160 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 34608640.

The previous prime is 149310463. The next prime is 149310481. The reversal of 149310480 is 84013941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (149310481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59491 + ... + 61949.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2149310480 is an apocalyptic number.

149310480 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 149310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

149310480 is an abundant number, since it is smaller than the sum of its proper divisors (377798640).

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

149310480 is a wasteful number, since it uses less digits than its factorization.

149310480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 149310480 is about 12219.2667537786. The cubic root of 149310480 is about 530.5138957672.

The spelling of 149310480 in words is "one hundred forty-nine million, three hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2459 2530 2640 2760 3036 3795 4048 4918 5060 5520 6072 7377 7590 9836 10120 12144 12295 14754 15180 19672 20240 24590 27049 29508 30360 36885 39344 49180 54098 56557 59016 60720 73770 81147 98360 108196 113114 118032 135245 147540 162294 169671 196720 216392 226228 270490 282785 295080 324588 339342 405735 432784 452456 540980 565570 590160 622127 649176 678684 811470 848355 904912 1081960 1131140 1244254 1298352 1357368 1622940 1696710 1866381 2163920 2262280 2488508 2714736 3110635 3245880 3393420 3732762 4524560 4977016 6221270 6491760 6786840 7465524 9331905 9954032 12442540 13573680 14931048 18663810 24885080 29862096 37327620 49770160 74655240 149310480