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1073952 = 253311113
BaseRepresentation
bin100000110001100100000
32000120012000
410012030200
5233331302
635004000
712062025
oct4061440
92016160
101073952
11673970
12439600
132b7a99
141dd54c
1516331c
hex106320

1073952 has 96 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 322560.

The previous prime is 1073951. The next prime is 1073953. The reversal of 1073952 is 2593701.

It is an interprime number because it is at equal distance from previous prime (1073951) and next prime (1073953).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1073951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9448 + ... + 9560.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

21073952 is an apocalyptic number.

1073952 is a gapful number since it is divisible by the number (12) 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 1073952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1073952 is an abundant number, since it is smaller than the sum of its proper divisors (2373408).

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

1073952 is a wasteful number, since it uses less digits than its factorization.

1073952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1073952 is about 1036.3165539544. The cubic root of 1073952 is about 102.4066808792.

It can be divided in two parts, 1073 and 952, that added together give a square (2025 = 452).

The spelling of 1073952 in words is "one million, seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 113 132 144 176 198 216 226 264 288 297 339 352 396 432 452 528 594 678 792 864 904 1017 1056 1188 1243 1356 1584 1808 2034 2376 2486 2712 3051 3168 3616 3729 4068 4752 4972 5424 6102 7458 8136 9504 9944 10848 11187 12204 14916 16272 19888 22374 24408 29832 32544 33561 39776 44748 48816 59664 67122 89496 97632 119328 134244 178992 268488 357984 536976 1073952