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148298640 = 24357412153
BaseRepresentation
bin10001101011011…
…01101110010000
3101100001100111020
420311231232100
5300431024030
622414315440
73450342360
oct1065555620
9340040436
10148298640
117678aa66
12417b8b80
1324954699
14159a49a0
15d045510
hex8d6db90

148298640 has 160 divisors (see below), whose sum is σ = 538465536. Its totient is φ = 33054720.

The previous prime is 148298639. The next prime is 148298669. The reversal of 148298640 is 46892841.

148298640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 148298592 and 148298601.

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, 67804 + ... + 69956.

Almost surely, 2148298640 is an apocalyptic number.

148298640 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 148298640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269232768).

148298640 is an abundant number, since it is smaller than the sum of its proper divisors (390166896).

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

148298640 is a wasteful number, since it uses less digits than its factorization.

148298640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 148298640 is about 12177.7929034780. The cubic root of 148298640 is about 529.3127915490.

The spelling of 148298640 in words is "one hundred forty-eight million, two hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2153 2296 2460 2870 3280 3444 4305 4306 4592 4920 5740 6459 6888 8610 8612 9840 10765 11480 12918 13776 15071 17220 17224 21530 22960 25836 30142 32295 34440 34448 43060 45213 51672 60284 64590 68880 75355 86120 88273 90426 103344 120568 129180 150710 172240 176546 180852 226065 241136 258360 264819 301420 353092 361704 441365 452130 516720 529638 602840 617911 706184 723408 882730 904260 1059276 1205680 1235822 1324095 1412368 1765460 1808520 1853733 2118552 2471644 2648190 3089555 3530920 3617040 3707466 4237104 4943288 5296380 6179110 7061840 7414932 9268665 9886576 10592760 12358220 14829864 18537330 21185520 24716440 29659728 37074660 49432880 74149320 148298640