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1298293920 = 253457111301
BaseRepresentation
bin100110101100010…
…0110010010100000
310100110222011110000
41031120212102200
510124330401140
6332454540000
744113213320
oct11530462240
93313864400
101298293920
11606942490
12302967600
13178c8b571
14c45d9280
1578ea4a30
hex4d6264a0

1298293920 has 480 divisors, whose sum is σ = 5716884096. Its totient is φ = 269568000.

The previous prime is 1298293901. The next prime is 1298293933. The reversal of 1298293920 is 293928921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997270 + ... + 998570.

Almost surely, 21298293920 is an apocalyptic number.

1298293920 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 1298293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858442048).

1298293920 is an abundant number, since it is smaller than the sum of its proper divisors (4418590176).

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

1298293920 is a wasteful number, since it uses less digits than its factorization.

1298293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1298293920 is about 36031.8459144130. The cubic root of 1298293920 is about 1090.9152372381.

The spelling of 1298293920 in words is "one billion, two hundred ninety-eight million, two hundred ninety-three thousand, nine hundred twenty".