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148769640 = 23325795231
BaseRepresentation
bin10001101111000…
…00101101101000
3101100221021120200
420313200231220
5301041112030
622432352200
73454343505
oct1067405550
9340837520
10148769640
1176a81918
12419a5660
1324a8ab96
1415a884ac
15d0d9d60
hex8de0b68

148769640 has 96 divisors (see below), whose sum is σ = 489715200. Its totient is φ = 39162240.

The previous prime is 148769629. The next prime is 148769659. The reversal of 148769640 is 46967841.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25825 + ... + 31055.

It is an arithmetic number, because the mean of its divisors is an integer number (5101200).

Almost surely, 2148769640 is an apocalyptic number.

148769640 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 148769640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244857600).

148769640 is an abundant number, since it is smaller than the sum of its proper divisors (340945560).

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

148769640 is a wasteful number, since it uses less digits than its factorization.

148769640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 148769640 is about 12197.1160525757. The cubic root of 148769640 is about 529.8725693399.

The spelling of 148769640 in words is "one hundred forty-eight million, seven hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5231 5688 7110 9480 10462 14220 15693 20924 26155 28440 31386 41848 47079 52310 62772 78465 94158 104620 125544 156930 188316 209240 235395 313860 376632 413249 470790 627720 826498 941580 1239747 1652996 1883160 2066245 2479494 3305992 3719241 4132490 4958988 6198735 7438482 8264980 9917976 12397470 14876964 16529960 18596205 24794940 29753928 37192410 49589880 74384820 148769640