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1348805920 = 255711109481
BaseRepresentation
bin101000001100101…
…0010010100100000
310111000000102212211
41100121102110200
510230243242140
6341501331504
745265442530
oct12031222440
93430012784
101348805920
11632402940
12317866b94
13186595a17
14cb1c74c0
157d6312ea
hex50652520

1348805920 has 96 divisors (see below), whose sum is σ = 3972882816. Its totient is φ = 420403200.

The previous prime is 1348805917. The next prime is 1348805933. The reversal of 1348805920 is 295088431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42421 + ... + 67060.

It is an arithmetic number, because the mean of its divisors is an integer number (41384196).

Almost surely, 21348805920 is an apocalyptic number.

1348805920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348805920 is an abundant number, since it is smaller than the sum of its proper divisors (2624076896).

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

1348805920 is a wasteful number, since it uses less digits than its factorization.

1348805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109514 (or 109506 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1348805920 is about 36726.0931763780. The cubic root of 1348805920 is about 1104.8834995214.

The spelling of 1348805920 in words is "one billion, three hundred forty-eight million, eight hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 109481 218962 437924 547405 766367 875848 1094810 1204291 1532734 1751696 2189620 2408582 3065468 3503392 3831835 4379240 4817164 6021455 6130936 7663670 8430037 8758480 9634328 12042910 12261872 15327340 16860074 17516960 19268656 24085820 24523744 30654680 33720148 38537312 42150185 48171640 61309360 67440296 84300370 96343280 122618720 134880592 168600740 192686560 269761184 337201480 674402960 1348805920