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993057540 = 2235151109609
BaseRepresentation
bin111011001100001…
…101101100000100
32120012121112211220
4323030031230010
54013210320130
6242312400340
733415564326
oct7314155404
92505545756
10993057540
1146a611912
122386a60b0
1312a979217
1495c61616
155c2ae410
hex3b30db04

993057540 has 48 divisors (see below), whose sum is σ = 2799000960. Its totient is φ = 263059200.

The previous prime is 993057511. The next prime is 993057551. The reversal of 993057540 is 45750399.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 993057492 and 993057501.

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, 45745 + ... + 63864.

It is an arithmetic number, because the mean of its divisors is an integer number (58312520).

Almost surely, 2993057540 is an apocalyptic number.

It is an amenable number.

993057540 is an abundant number, since it is smaller than the sum of its proper divisors (1805943420).

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

993057540 is a wasteful number, since it uses less digits than its factorization.

993057540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109772 (or 109770 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 993057540 is about 31512.8154883057. The cubic root of 993057540 is about 997.6804706099.

The spelling of 993057540 in words is "nine hundred ninety-three million, fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 109609 219218 328827 438436 548045 657654 1096090 1315308 1644135 2192180 3288270 6576540 16550959 33101918 49652877 66203836 82754795 99305754 165509590 198611508 248264385 331019180 496528770 993057540