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148823040 = 210359689
BaseRepresentation
bin10001101111011…
…01110000000000
3101101000222211110
420313231300000
5301044314130
622433443320
73454655262
oct1067556000
9341028743
10148823040
1177008a53
1241a10540
1324aa9292
1415a9db32
15d0eaab0
hex8dedc00

148823040 has 88 divisors (see below), whose sum is σ = 476050320. Its totient is φ = 39682048.

The previous prime is 148823039. The next prime is 148823047. The reversal of 148823040 is 40328841.

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

It is a junction number, because it is equal to n+sod(n) for n = 148822989 and 148823007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148823047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10516 + ... + 20204.

Almost surely, 2148823040 is an apocalyptic number.

148823040 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 148823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238025160).

148823040 is an abundant number, since it is smaller than the sum of its proper divisors (327227280).

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

148823040 is an equidigital number, since it uses as much as digits as its factorization.

148823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 148823040 is about 12199.3048982309. The cubic root of 148823040 is about 529.9359599851.

The spelling of 148823040 in words is "one hundred forty-eight million, eight hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 9689 15360 19378 29067 38756 48445 58134 77512 96890 116268 145335 155024 193780 232536 290670 310048 387560 465072 581340 620096 775120 930144 1162680 1240192 1550240 1860288 2325360 2480384 3100480 3720576 4650720 4960768 6200960 7441152 9301440 9921536 12401920 14882304 18602880 24803840 29764608 37205760 49607680 74411520 148823040