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148684120 = 2351319101149
BaseRepresentation
bin10001101110010…
…11110101011000
3101100202221021021
420313023311120
5301030342440
622430452224
73453536254
oct1067136530
9340687237
10148684120
1176a23642
1241964074
1324a5ac90
1415a65264
15d0be84a
hex8dcbd58

148684120 has 128 divisors (see below), whose sum is σ = 385560000. Its totient is φ = 51148800.

The previous prime is 148684111. The next prime is 148684183. The reversal of 148684120 is 21486841.

148684120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 997806 + ... + 997954.

Almost surely, 2148684120 is an apocalyptic number.

148684120 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 148684120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780000).

148684120 is an abundant number, since it is smaller than the sum of its proper divisors (236875880).

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

148684120 is a wasteful number, since it uses less digits than its factorization.

148684120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 148684120 is about 12193.6098018593. The cubic root of 148684120 is about 529.7710177332.

The spelling of 148684120 in words is "one hundred forty-eight million, six hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 101 104 130 149 152 190 202 247 260 298 380 404 494 505 520 596 745 760 808 988 1010 1192 1235 1313 1490 1919 1937 1976 2020 2470 2626 2831 2980 3838 3874 4040 4940 5252 5662 5960 6565 7676 7748 9595 9685 9880 10504 11324 13130 14155 15049 15352 15496 19190 19370 22648 24947 26260 28310 30098 36803 38380 38740 49894 52520 56620 60196 73606 75245 76760 77480 99788 113240 120392 124735 147212 150490 184015 195637 199576 249470 285931 294424 300980 368030 391274 498940 571862 601960 736060 782548 978185 997880 1143724 1429655 1472120 1565096 1956370 2287448 2859310 3717103 3912740 5718620 7434206 7825480 11437240 14868412 18585515 29736824 37171030 74342060 148684120