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1337221920 = 25352785879
BaseRepresentation
bin100111110110100…
…0110001100100000
310110012012220121210
41033231012030200
510214312100140
6340405150120
745065125116
oct11755061440
93405186553
101337221920
11626910691
123139bb340
1318406b198
14c984dab6
157c5e3d80
hex4fb46320

1337221920 has 48 divisors (see below), whose sum is σ = 4212250560. Its totient is φ = 356592384.

The previous prime is 1337221883. The next prime is 1337221927. The reversal of 1337221920 is 291227331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1337221927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392460 + ... + 1393419.

It is an arithmetic number, because the mean of its divisors is an integer number (87755220).

Almost surely, 21337221920 is an apocalyptic number.

1337221920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1337221920 is an abundant number, since it is smaller than the sum of its proper divisors (2875028640).

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

1337221920 is a wasteful number, since it uses less digits than its factorization.

1337221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785897 (or 2785889 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1337221920 is about 36568.0450666972. The cubic root of 1337221920 is about 1101.7113636533.

The spelling of 1337221920 in words is "one billion, three hundred thirty-seven million, two hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2785879 5571758 8357637 11143516 13929395 16715274 22287032 27858790 33430548 41788185 44574064 55717580 66861096 83576370 89148128 111435160 133722192 167152740 222870320 267444384 334305480 445740640 668610960 1337221920