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148953280 = 2657292293
BaseRepresentation
bin10001110000011…
…01100011000000
3101101021121111011
420320031203000
5301113001110
622440330304
73456040060
oct1070154300
9341247434
10148953280
1177097893
1241a73994
1324b23648
1415ad53a0
15d12448a
hex8e0d8c0

148953280 has 112 divisors (see below), whose sum is σ = 419526720. Its totient is φ = 49287168.

The previous prime is 148953271. The next prime is 148953281. The reversal of 148953280 is 82359841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (148953281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63814 + ... + 66106.

Almost surely, 2148953280 is an apocalyptic number.

148953280 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 148953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209763360).

148953280 is an abundant number, since it is smaller than the sum of its proper divisors (270573440).

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

148953280 is a wasteful number, since it uses less digits than its factorization.

148953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 148953280 is about 12204.6417399283. The cubic root of 148953280 is about 530.0905031160.

The spelling of 148953280 in words is "one hundred forty-eight million, nine hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 928 1015 1120 1160 1624 1856 2030 2240 2293 2320 3248 4060 4586 4640 6496 8120 9172 9280 11465 12992 16051 16240 18344 22930 32102 32480 36688 45860 64204 64960 66497 73376 80255 91720 128408 132994 146752 160510 183440 256816 265988 321020 332485 366880 465479 513632 531976 642040 664970 733760 930958 1027264 1063952 1284080 1329940 1861916 2127904 2327395 2568160 2659880 3723832 4255808 4654790 5136320 5319760 7447664 9309580 10639520 14895328 18619160 21279040 29790656 37238320 74476640 148953280