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1061314488 = 233413177411
BaseRepresentation
bin111111010000100…
…101111110111000
32201222001100210000
4333100211332320
54133144030423
6253151353000
735205011223
oct7720457670
92658040700
101061314488
114a50a2313
12257522760
1313bb57550
14a0d4c5ba
1563293843
hex3f425fb8

1061314488 has 160 divisors (see below), whose sum is σ = 3390100560. Its totient is φ = 307307520.

The previous prime is 1061314487. The next prime is 1061314517. The reversal of 1061314488 is 8844131601.

It is a happy number.

It is a super-2 number, since 2×10613144882 = 2252776884877404288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061314487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139503 + ... + 146913.

Almost surely, 21061314488 is an apocalyptic number.

1061314488 is a gapful number since it is divisible by the number (18) 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 1061314488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695050280).

1061314488 is an abundant number, since it is smaller than the sum of its proper divisors (2328786072).

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

1061314488 is a wasteful number, since it uses less digits than its factorization.

1061314488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1061314488 is about 32577.8220266487. The cubic root of 1061314488 is about 1020.0341165059.

The spelling of 1061314488 in words is "one billion, sixty-one million, three hundred fourteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 612 648 663 702 884 918 936 1053 1224 1326 1377 1404 1768 1836 1989 2106 2652 2754 2808 3672 3978 4212 5304 5508 5967 7411 7956 8424 11016 11934 14822 15912 17901 22233 23868 29644 35802 44466 47736 59288 66699 71604 88932 96343 125987 133398 143208 177864 192686 200097 251974 266796 289029 377961 385372 400194 503948 533592 578058 600291 755922 770744 800388 867087 1007896 1133883 1156116 1200582 1511844 1600776 1637831 1734174 2267766 2312232 2401164 2601261 3023688 3275662 3401649 3468348 4535532 4802328 4913493 5202522 6551324 6803298 6936696 7803783 9071064 9826986 10204947 10405044 13102648 13606596 14740479 15607566 19653972 20409894 20810088 27213192 29480958 31215132 39307944 40819788 44221437 58961916 62430264 81639576 88442874 117923832 132664311 176885748 265328622 353771496 530657244 1061314488