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1039290054 = 23113181719
BaseRepresentation
bin111101111100100…
…100111011000110
32200102121101221020
4331330210323012
54112024240204
6251043332010
734516551105
oct7574447306
92612541836
101039290054
1149371a000
12250081006
1313741583a
149c05803c
1561392bd9
hex3df24ec6

1039290054 has 64 divisors (see below), whose sum is σ = 2302110720. Its totient is φ = 312760800.

The previous prime is 1039290011. The next prime is 1039290079. The reversal of 1039290054 is 4500929301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1039289997 and 1039290024.

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, 1445107 + ... + 1445825.

It is an arithmetic number, because the mean of its divisors is an integer number (35970480).

Almost surely, 21039290054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039290054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151055360).

1039290054 is an abundant number, since it is smaller than the sum of its proper divisors (1262820666).

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

1039290054 is a wasteful number, since it uses less digits than its factorization.

1039290054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1039290054 is about 32238.0218685949. The cubic root of 1039290054 is about 1012.9288101663.

The spelling of 1039290054 in words is "one billion, thirty-nine million, two hundred ninety thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 121 181 242 362 363 543 719 726 1086 1331 1438 1991 2157 2662 3982 3993 4314 5973 7909 7986 11946 15818 21901 23727 43802 47454 65703 86999 130139 131406 173998 240911 260278 260997 390417 481822 521994 722733 780834 956989 1431529 1445466 1913978 2863058 2870967 4294587 5741934 8589174 15746819 31493638 47240457 94480914 173215009 346430018 519645027 1039290054