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150048640 = 275733493
BaseRepresentation
bin10001111000110…
…00111110000000
3101110100021001001
420330120332000
5301403024030
622520021344
73501251410
oct1074307600
9343307031
10150048640
1177775845
1242301854
13251180a1
1415cdc640
15d28dcca
hex8f18f80

150048640 has 64 divisors (see below), whose sum is σ = 409966560. Its totient is φ = 51443712.

The previous prime is 150048617. The next prime is 150048659. The reversal of 150048640 is 46840051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 150048599 and 150048608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12267 + ... + 21226.

Almost surely, 2150048640 is an apocalyptic number.

150048640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150048640 is an abundant number, since it is smaller than the sum of its proper divisors (259917920).

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

150048640 is an equidigital number, since it uses as much as digits as its factorization.

150048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33519 (or 33507 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 150048640 is about 12249.4342726511. The cubic root of 150048640 is about 531.3867091768.

Adding to 150048640 its reverse (46840051), we get a palindrome (196888691).

The spelling of 150048640 in words is "one hundred fifty million, forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 33493 66986 133972 167465 234451 267944 334930 468902 535888 669860 937804 1071776 1172255 1339720 1875608 2143552 2344510 2679440 3751216 4287104 4689020 5358880 7502432 9378040 10717760 15004864 18756080 21435520 30009728 37512160 75024320 150048640