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148705040 = 24511295827
BaseRepresentation
bin10001101110100…
…00111100010000
3101100210222222002
420313100330100
5301032030130
622431133132
73453654251
oct1067207420
9340728862
10148705040
1176a38330
12419741a8
1324a67663
1415a6cb28
15d0c5b45
hex8dd0f10

148705040 has 80 divisors (see below), whose sum is σ = 390242880. Its totient is φ = 52200960.

The previous prime is 148705033. The next prime is 148705049. The reversal of 148705040 is 40507841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1487050402 = 44226377842803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 148704994 and 148705012.

It is not an unprimeable number, because it can be changed into a prime (148705049) 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, 22607 + ... + 28433.

It is an arithmetic number, because the mean of its divisors is an integer number (4878036).

Almost surely, 2148705040 is an apocalyptic number.

148705040 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 148705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195121440).

148705040 is an abundant number, since it is smaller than the sum of its proper divisors (241537840).

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

148705040 is a wasteful number, since it uses less digits than its factorization.

148705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 148705040 is about 12194.4675980545. The cubic root of 148705040 is about 529.7958630001.

The spelling of 148705040 in words is "one hundred forty-eight million, seven hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 5827 6380 11654 12760 23308 25520 29135 46616 58270 64097 93232 116540 128194 168983 233080 256388 320485 337966 466160 512776 640970 675932 844915 1025552 1281940 1351864 1689830 1858813 2563880 2703728 3379660 3717626 5127760 6759320 7435252 9294065 13518640 14870504 18588130 29741008 37176260 74352520 148705040