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1054010540 = 2251117319091
BaseRepresentation
bin111110110100101…
…110110010101100
32201110022021122102
4332310232302230
54124311314130
6252331034232
735055641012
oct7664566254
92643267572
101054010540
114a0a637a0
12254b9b978
1313a49ab9b
149ddaa8b2
15627ee645
hex3ed2ecac

1054010540 has 96 divisors (see below), whose sum is σ = 2639443968. Its totient is φ = 349056000.

The previous prime is 1054010501. The next prime is 1054010561. The reversal of 1054010540 is 450104501.

It is a super-2 number, since 2×10540105402 = 2221876436862183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 111395 + ... + 120485.

It is an arithmetic number, because the mean of its divisors is an integer number (27494208).

Almost surely, 21054010540 is an apocalyptic number.

1054010540 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 1054010540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319721984).

1054010540 is an abundant number, since it is smaller than the sum of its proper divisors (1585433428).

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

1054010540 is a wasteful number, since it uses less digits than its factorization.

1054010540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1054010540 is about 32465.5284879208. The cubic root of 1054010540 is about 1017.6887756525.

The spelling of 1054010540 in words is "one billion, fifty-four million, ten thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 44 55 62 68 85 110 124 155 170 187 220 310 340 341 374 527 620 682 748 935 1054 1364 1705 1870 2108 2635 3410 3740 5270 5797 6820 9091 10540 11594 18182 23188 28985 36364 45455 57970 90910 100001 115940 154547 181820 200002 281821 309094 400004 500005 563642 618188 772735 1000010 1127284 1409105 1545470 1700017 2000020 2818210 3090940 3100031 3400034 4790957 5636420 6200062 6800068 8500085 9581914 12400124 15500155 17000170 19163828 23954785 31000310 34000340 47909570 52700527 62000620 95819140 105401054 210802108 263502635 527005270 1054010540