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1073940032 = 26113074969
BaseRepresentation
bin100000000000011…
…0000011001000000
32202211210210202202
41000000300121000
54144412040112
6254322132332
735420224334
oct10000603100
92684723682
101073940032
11501236050
1225b7b10a8
13141658199
14a28b77c4
15644396c2
hex40030640

1073940032 has 56 divisors (see below), whose sum is σ = 2332878240. Its totient is φ = 486466560.

The previous prime is 1073940017. The next prime is 1073940079. The reversal of 1073940032 is 2300493701.

It is a super-2 number, since 2×10739400322 = 2306694384664322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1073939977 and 1073940004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213644 + ... + 218612.

It is an arithmetic number, because the mean of its divisors is an integer number (41658540).

Almost surely, 21073940032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166439120).

1073940032 is an abundant number, since it is smaller than the sum of its proper divisors (1258938208).

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

1073940032 is a wasteful number, since it uses less digits than its factorization.

1073940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 1073940032 is about 32771.0242745020. The cubic root of 1073940032 is about 1024.0630047497.

The spelling of 1073940032 in words is "one billion, seventy-three million, nine hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 307 352 614 704 1228 2456 3377 4912 4969 6754 9824 9938 13508 19648 19876 27016 39752 54032 54659 79504 108064 109318 159008 216128 218636 318016 437272 874544 1525483 1749088 3050966 3498176 6101932 12203864 16780313 24407728 33560626 48815456 67121252 97630912 134242504 268485008 536970016 1073940032