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1997024736 = 253747531193
BaseRepresentation
bin111011100001000…
…0010110111100000
312011011202100221010
41313002002313200
513042214242421
6530055100520
7100326300360
oct16702026740
95134670833
101997024736
119352a5273
12478971740
1325a975055
1414d3229a0
15ba4c6076
hex77082de0

1997024736 has 192 divisors, whose sum is σ = 6239213568. Its totient is φ = 547442688.

The previous prime is 1997024723. The next prime is 1997024747. The reversal of 1997024736 is 6374207991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673356 + ... + 1674548.

It is an arithmetic number, because the mean of its divisors is an integer number (32495904).

Almost surely, 21997024736 is an apocalyptic number.

1997024736 is a gapful number since it is divisible by the number (16) 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 1997024736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119606784).

1997024736 is an abundant number, since it is smaller than the sum of its proper divisors (4242188832).

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

1997024736 is a wasteful number, since it uses less digits than its factorization.

1997024736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 1997024736 is about 44688.0827066904. The cubic root of 1997024736 is about 1259.2959735407.

The spelling of 1997024736 in words is "one billion, nine hundred ninety-seven million, twenty-four thousand, seven hundred thirty-six".