Search a number
-
+
3069738960 = 2435177110597
BaseRepresentation
bin1011011011111000…
…0111111111010000
321220221020220012120
42312332013333100
522241323121320
61224335054240
7136033231161
oct26676077720
97827226176
103069738960
111335873352
12718071380
1339bc912b2
1421199b768
1512e76c440
hexb6f87fd0

3069738960 has 160 divisors (see below), whose sum is σ = 10218845952. Its totient is φ = 759521280.

The previous prime is 3069738913. The next prime is 3069738983. The reversal of 3069738960 is 698379603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 284382 + ... + 294978.

Almost surely, 23069738960 is an apocalyptic number.

3069738960 is a gapful number since it is divisible by the number (30) 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 3069738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109422976).

3069738960 is an abundant number, since it is smaller than the sum of its proper divisors (7149106992).

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

3069738960 is a wasteful number, since it uses less digits than its factorization.

3069738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10701 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 3069738960 is about 55405.2250243603. The cubic root of 3069738960 is about 1453.3397389574.

The spelling of 3069738960 in words is "three billion, sixty-nine million, seven hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 71 80 85 102 120 136 142 170 204 213 240 255 272 284 340 355 408 426 510 568 680 710 816 852 1020 1065 1136 1207 1360 1420 1704 2040 2130 2414 2840 3408 3621 4080 4260 4828 5680 6035 7242 8520 9656 10597 12070 14484 17040 18105 19312 21194 24140 28968 31791 36210 42388 48280 52985 57936 63582 72420 84776 96560 105970 127164 144840 158955 169552 180149 211940 254328 289680 317910 360298 423880 508656 540447 635820 720596 752387 847760 900745 1080894 1271640 1441192 1504774 1801490 2161788 2257161 2543280 2702235 2882384 3009548 3602980 3761935 4323576 4514322 5404470 6019096 7205960 7523870 8647152 9028644 10808940 11285805 12038192 12790579 14411920 15047740 18057288 21617880 22571610 25581158 30095480 36114576 38371737 43235760 45143220 51162316 60190960 63952895 76743474 90286440 102324632 127905790 153486948 180572880 191858685 204649264 255811580 306973896 383717370 511623160 613947792 767434740 1023246320 1534869480 3069738960