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1993360740 = 2235753149601
BaseRepresentation
bin111011011010000…
…0100010101100100
312010220212012212120
41312310010111210
513040300020430
6525444345540
7100253200230
oct16664042544
95126765776
101993360740
11933222478
124776a52b0
13259c913c7
1414ca4b5c0
15ba000610
hex76d04564

1993360740 has 192 divisors, whose sum is σ = 6553612800. Its totient is φ = 443289600.

The previous prime is 1993360727. The next prime is 1993360753. The reversal of 1993360740 is 470633991.

It is an interprime number because it is at equal distance from previous prime (1993360727) and next prime (1993360753).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1993360692 and 1993360701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3316440 + ... + 3317040.

It is an arithmetic number, because the mean of its divisors is an integer number (34133400).

Almost surely, 21993360740 is an apocalyptic number.

1993360740 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 1993360740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276806400).

1993360740 is an abundant number, since it is smaller than the sum of its proper divisors (4560252060).

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

1993360740 is a wasteful number, since it uses less digits than its factorization.

1993360740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 1993360740 is about 44647.0686607755. The cubic root of 1993360740 is about 1258.5253471098.

The spelling of 1993360740 in words is "one billion, nine hundred ninety-three million, three hundred sixty thousand, seven hundred forty".