Search a number
-
+
1072555044 = 22311231492371
BaseRepresentation
bin111111111011011…
…110010000100100
32202202012102220220
4333323132100210
54144033230134
6254232324340
735402365431
oct7773362044
92682172826
101072555044
1150047a530
1225b2436b0
13141291972
14a2636b88
1564264149
hex3fede424

1072555044 has 96 divisors (see below), whose sum is σ = 2869171200. Its totient is φ = 308668800.

The previous prime is 1072555037. The next prime is 1072555051. The reversal of 1072555044 is 4405552701.

It is an interprime number because it is at equal distance from previous prime (1072555037) and next prime (1072555051).

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 = 1072554996 and 1072555014.

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, 451179 + ... + 453549.

It is an arithmetic number, because the mean of its divisors is an integer number (29887200).

Almost surely, 21072555044 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 1072555044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434585600).

1072555044 is an abundant number, since it is smaller than the sum of its proper divisors (1796616156).

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

1072555044 is a wasteful number, since it uses less digits than its factorization.

1072555044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 1072555044 is about 32749.8861677411. The cubic root of 1072555044 is about 1023.6225937182.

The spelling of 1072555044 in words is "one billion, seventy-two million, five hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 149 253 276 298 447 506 596 759 894 1012 1518 1639 1788 2371 3036 3278 3427 4742 4917 6556 6854 7113 9484 9834 10281 13708 14226 19668 20562 26081 28452 37697 41124 52162 54533 75394 78243 104324 109066 113091 150788 156486 163599 218132 226182 312972 327198 353279 452364 599863 654396 706558 1059837 1199726 1413116 1799589 2119674 2399452 3599178 3886069 4239348 7198356 7772138 8125417 11658207 15544276 16250834 23316414 24376251 32501668 46632828 48752502 89379587 97505004 178759174 268138761 357518348 536277522 1072555044