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148935540 = 223513792417
BaseRepresentation
bin10001110000010…
…01001101110100
3101101020201011010
420320021031310
5301111414130
622440112220
73455634255
oct1070111564
9341221133
10148935540
1177085526
1241a65670
1324b18550
1415accb2c
15d11e0b0
hex8e09374

148935540 has 96 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 36182016.

The previous prime is 148935539. The next prime is 148935551. The reversal of 148935540 is 45539841.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 60412 + ... + 62828.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2148935540 is an apocalyptic number.

148935540 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 148935540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

148935540 is an abundant number, since it is smaller than the sum of its proper divisors (306035340).

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

148935540 is a wasteful number, since it uses less digits than its factorization.

148935540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 148935540 is about 12203.9149456230. The cubic root of 148935540 is about 530.0694580857.

The spelling of 148935540 in words is "one hundred forty-eight million, nine hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 780 790 948 1027 1185 1580 2054 2370 2417 3081 4108 4740 4834 5135 6162 7251 9668 10270 12085 12324 14502 15405 20540 24170 29004 30810 31421 36255 48340 61620 62842 72510 94263 125684 145020 157105 188526 190943 314210 377052 381886 471315 572829 628420 763772 942630 954715 1145658 1885260 1909430 2291316 2482259 2864145 3818860 4964518 5728290 7446777 9929036 11456580 12411295 14893554 24822590 29787108 37233885 49645180 74467770 148935540