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148035840 = 2835192029
BaseRepresentation
bin10001101001011…
…01100100000000
3101022112222222220
420310231210000
5300344121330
622404531040
73445166241
oct1064554400
9338488886
10148035840
1176620577
12416b0a80
1324891b94
1415936cc8
15cee2710
hex8d2d900

148035840 has 144 divisors (see below), whose sum is σ = 497918400. Its totient is φ = 37380096.

The previous prime is 148035829. The next prime is 148035857. The reversal of 148035840 is 48530841.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 71946 + ... + 73974.

Almost surely, 2148035840 is an apocalyptic number.

148035840 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 148035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248959200).

148035840 is an abundant number, since it is smaller than the sum of its proper divisors (349882560).

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

148035840 is a wasteful number, since it uses less digits than its factorization.

148035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 148035840 is about 12166.9979863564. The cubic root of 148035840 is about 528.9999416335. Note that the first 4 decimals are identical.

The spelling of 148035840 in words is "one hundred forty-eight million, thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2029 2280 2432 3040 3648 3840 4058 4560 4864 6080 6087 7296 8116 9120 10145 12160 12174 14592 16232 18240 20290 24320 24348 30435 32464 36480 38551 40580 48696 60870 64928 72960 77102 81160 97392 115653 121740 129856 154204 162320 192755 194784 231306 243480 259712 308408 324640 385510 389568 462612 486960 519424 578265 616816 649280 771020 779136 925224 973920 1156530 1233632 1298560 1542040 1558272 1850448 1947840 2313060 2467264 2597120 3084080 3700896 3895680 4626120 4934528 6168160 7401792 7791360 9252240 9869056 12336320 14803584 18504480 24672640 29607168 37008960 49345280 74017920 148035840