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148349040 = 24357227389
BaseRepresentation
bin10001101011110…
…10000001110000
3101100010220121220
420311322001300
5300434132130
622415345040
73450642330
oct1065720160
9340126556
10148349040
1176814914
1241822180
13249715c8
14159b90c0
15d055410
hex8d7a070

148349040 has 160 divisors (see below), whose sum is σ = 529251840. Its totient is φ = 33672192.

The previous prime is 148349039. The next prime is 148349051. The reversal of 148349040 is 40943841.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 148348992 and 148349010.

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, 381166 + ... + 381554.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2148349040 is an apocalyptic number.

148349040 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 148349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

148349040 is an abundant number, since it is smaller than the sum of its proper divisors (380902800).

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

148349040 is a wasteful number, since it uses less digits than its factorization.

148349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 148349040 is about 12179.8620681845. The cubic root of 148349040 is about 529.3727479162.

The spelling of 148349040 in words is "one hundred forty-eight million, three hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 227 240 280 336 389 420 454 560 681 778 840 908 1135 1167 1362 1556 1589 1680 1816 1945 2270 2334 2723 2724 3112 3178 3405 3632 3890 4540 4668 4767 5446 5448 5835 6224 6356 6810 7780 7945 8169 9080 9336 9534 10892 10896 11670 12712 13615 13620 15560 15890 16338 18160 18672 19068 21784 23340 23835 25424 27230 27240 31120 31780 32676 38136 40845 43568 46680 47670 54460 54480 63560 65352 76272 81690 88303 93360 95340 108920 127120 130704 163380 176606 190680 217840 264909 326760 353212 381360 441515 529818 618121 653520 706424 883030 1059636 1236242 1324545 1412848 1766060 1854363 2119272 2472484 2649090 3090605 3532120 3708726 4238544 4944968 5298180 6181210 7064240 7417452 9271815 9889936 10596360 12362420 14834904 18543630 21192720 24724840 29669808 37087260 49449680 74174520 148349040