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148871040 = 2735174561
BaseRepresentation
bin10001101111110…
…01011110000000
3101101010102200020
420313321132000
5301102333130
622434453440
73455245233
oct1067713600
9341112606
10148871040
117704101a
1241a34280
1324ac5096
1415ab341a
15d109e10
hex8df9780

148871040 has 128 divisors (see below), whose sum is σ = 502549920. Its totient is φ = 37355520.

The previous prime is 148871039. The next prime is 148871077. The reversal of 148871040 is 40178841.

148871040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 148870992 and 148871010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30360 + ... + 34920.

Almost surely, 2148871040 is an apocalyptic number.

148871040 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 148871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251274960).

148871040 is an abundant number, since it is smaller than the sum of its proper divisors (353678880).

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

148871040 is a wasteful number, since it uses less digits than its factorization.

148871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 148871040 is about 12201.2720648300. The cubic root of 148871040 is about 529.9929274006.

The spelling of 148871040 in words is "one hundred forty-eight million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 4561 5440 6528 8160 9122 10880 13683 16320 18244 22805 27366 32640 36488 45610 54732 68415 72976 77537 91220 109464 136830 145952 155074 182440 218928 232611 273660 291904 310148 364880 387685 437856 465222 547320 583808 620296 729760 775370 875712 930444 1094640 1163055 1240592 1459520 1550740 1751424 1860888 2189280 2326110 2481184 2919040 3101480 3721776 4378560 4652220 4962368 6202960 7443552 8757120 9304440 9924736 12405920 14887104 18608880 24811840 29774208 37217760 49623680 74435520 148871040