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148973040 = 24335174057
BaseRepresentation
bin10001110000100…
…10010111110000
3101101022121121000
420320102113300
5301114114130
622441002000
73456151506
oct1070222760
9341277530
10148973040
1177100717
1241a83300
1324b2c638
1415adc676
15d12a260
hex8e125f0

148973040 has 160 divisors (see below), whose sum is σ = 543447360. Its totient is φ = 37380096.

The previous prime is 148973017. The next prime is 148973051. The reversal of 148973040 is 40379841.

It is a happy number.

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 = 148972986 and 148973004.

It is a congruent number.

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, 34692 + ... + 38748.

It is an arithmetic number, because the mean of its divisors is an integer number (3396546).

Almost surely, 2148973040 is an apocalyptic number.

148973040 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 148973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271723680).

148973040 is an abundant number, since it is smaller than the sum of its proper divisors (394474320).

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

148973040 is a wasteful number, since it uses less digits than its factorization.

148973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 148973040 is about 12205.4512411463. The cubic root of 148973040 is about 530.1139425130.

It can be divided in two parts, 1489 and 73040, that added together give a square (74529 = 2732).

The spelling of 148973040 in words is "one hundred forty-eight million, nine hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4057 4080 4590 6120 7344 8114 9180 12171 12240 16228 18360 20285 24342 32456 36513 36720 40570 48684 60855 64912 68969 73026 81140 97368 109539 121710 137938 146052 162280 182565 194736 206907 219078 243420 275876 292104 324560 344845 365130 413814 438156 486840 547695 551752 584208 620721 689690 730260 827628 876312 973680 1034535 1095390 1103504 1241442 1379380 1460520 1655256 1752624 1862163 2069070 2190780 2482884 2758760 2921040 3103605 3310512 3724326 4138140 4381560 4965768 5517520 6207210 7448652 8276280 8763120 9310815 9931536 12414420 14897304 16552560 18621630 24828840 29794608 37243260 49657680 74486520 148973040