Search a number
-
+
1070730232 = 231113979649
BaseRepresentation
bin111111110100100…
…000101111111000
32202121202201202021
4333310200233320
54143101331412
6254125244224
735351025325
oct7764405770
92677681667
101070730232
114aa443520
1225a703674
13140aa31b0
14a22bdb4c
1564003607
hex3fd20bf8

1070730232 has 64 divisors (see below), whose sum is σ = 2383164000. Its totient is φ = 444579840.

The previous prime is 1070730191. The next prime is 1070730233. The reversal of 1070730232 is 2320370701.

It is a super-2 number, since 2×10707302322 = 2292926459437547648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070730197 and 1070730206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070730233) 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, 106144 + ... + 115792.

Almost surely, 21070730232 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 1070730232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191582000).

1070730232 is an abundant number, since it is smaller than the sum of its proper divisors (1312433768).

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

1070730232 is a wasteful number, since it uses less digits than its factorization.

1070730232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 1070730232 is about 32722.0144856639. The cubic root of 1070730232 is about 1023.0417442332.

The spelling of 1070730232 in words is "one billion, seventy million, seven hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 97 104 143 194 286 388 572 776 1067 1144 1261 2134 2522 4268 5044 8536 9649 10088 13871 19298 27742 38596 55484 77192 106139 110968 125437 212278 250874 424556 501748 849112 935953 1003496 1379807 1871906 2759614 3743812 5519228 7487624 10295483 11038456 12167389 20590966 24334778 41181932 48669556 82363864 97339112 133841279 267682558 535365116 1070730232