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1348873920 = 26325468359
BaseRepresentation
bin101000001100110…
…0010111011000000
310111000010220011100
41100121202323000
510230302431140
6341503014400
745266145012
oct12031427300
93430126140
101348873920
11632449a39
1231789a400
131865ba964
14cb2041b2
157d646530
hex50662ec0

1348873920 has 84 divisors (see below), whose sum is σ = 4639574160. Its totient is φ = 359698944.

The previous prime is 1348873913. The next prime is 1348873921. The reversal of 1348873920 is 293788431.

1348873920 is a `hidden beast` number, since 13 + 488 + 73 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1348873921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231300 + ... + 237059.

Almost surely, 21348873920 is an apocalyptic number.

1348873920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348873920 is an abundant number, since it is smaller than the sum of its proper divisors (3290700240).

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

1348873920 is a wasteful number, since it uses less digits than its factorization.

1348873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468382 (or 468369 counting only the distinct ones).

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

The square root of 1348873920 is about 36727.0189370169. The cubic root of 1348873920 is about 1104.9020667628.

The spelling of 1348873920 in words is "one billion, three hundred forty-eight million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 468359 936718 1405077 1873436 2341795 2810154 3746872 4215231 4683590 5620308 7025385 7493744 8430462 9367180 11240616 14050770 14987488 16860924 18734360 21076155 22481232 28101540 29974976 33721848 37468720 42152310 44962464 56203080 67443696 74937440 84304620 89924928 112406160 134887392 149874880 168609240 224812320 269774784 337218480 449624640 674436960 1348873920