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148654080 = 2113251613
BaseRepresentation
bin10001101110001…
…00100000000000
3101100201102001200
420313010200000
5301023412310
622430101200
73453352551
oct1067044000
9340642050
10148654080
1176a03013
124194a800
1324a4a3c3
1415a58328
15d0b59c0
hex8dc4800

148654080 has 144 divisors (see below), whose sum is σ = 515527740. Its totient is φ = 39616512.

The previous prime is 148654031. The next prime is 148654111. The reversal of 148654080 is 80456841.

It can be written as a sum of positive squares in 2 ways, for example, as 148644864 + 9216 = 12192^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91354 + ... + 92966.

Almost surely, 2148654080 is an apocalyptic number.

148654080 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 148654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257763870).

148654080 is an abundant number, since it is smaller than the sum of its proper divisors (366873660).

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

148654080 is a wasteful number, since it uses less digits than its factorization.

148654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 148654080 is about 12192.3779468978. The cubic root of 148654080 is about 529.7353371838.

The spelling of 148654080 in words is "one hundred forty-eight million, six hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1613 1920 2048 2304 2560 2880 3072 3226 3840 4608 4839 5120 5760 6144 6452 7680 8065 9216 9678 10240 11520 12904 14517 15360 16130 18432 19356 23040 24195 25808 29034 30720 32260 38712 46080 48390 51616 58068 64520 72585 77424 92160 96780 103232 116136 129040 145170 154848 193560 206464 232272 258080 290340 309696 387120 412928 464544 516160 580680 619392 774240 825856 929088 1032320 1161360 1238784 1548480 1651712 1858176 2064640 2322720 2477568 3096960 3303424 3716352 4129280 4645440 4955136 6193920 7432704 8258560 9290880 9910272 12387840 14865408 16517120 18581760 24775680 29730816 37163520 49551360 74327040 148654080