Search a number
-
+
1074307480 = 23531672193
BaseRepresentation
bin100000000001000…
…1010000110011000
32202212111110210221
41000002022012120
54200010314410
6254334045424
735423314531
oct10002120630
92685443727
101074307480
11501467124
1225b949874
131417564cc
14a2971688
15644ad4da
hex4008a198

1074307480 has 96 divisors (see below), whose sum is σ = 2546087040. Its totient is φ = 407531520.

The previous prime is 1074307477. The next prime is 1074307501. The reversal of 1074307480 is 847034701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5566264 + ... + 5566456.

It is an arithmetic number, because the mean of its divisors is an integer number (26521740).

Almost surely, 21074307480 is an apocalyptic number.

1074307480 is a gapful number since it is divisible by the number (10) 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 1074307480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273043520).

1074307480 is an abundant number, since it is smaller than the sum of its proper divisors (1471779560).

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

1074307480 is a wasteful number, since it uses less digits than its factorization.

1074307480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 1074307480 is about 32776.6300891352. The cubic root of 1074307480 is about 1024.1797856326.

The spelling of 1074307480 in words is "one billion, seventy-four million, three hundred seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 155 193 248 268 310 335 386 536 620 670 772 965 1240 1340 1544 1930 2077 2680 3860 4154 4489 5983 7720 8308 8978 10385 11966 12931 16616 17956 20770 22445 23932 25862 29915 35912 41540 44890 47864 51724 59830 64655 83080 89780 103448 119660 129310 139159 179560 239320 258620 278318 400861 517240 556636 695795 801722 866377 1113272 1391590 1603444 1732754 2004305 2783180 3206888 3465508 4008610 4331885 5566360 6931016 8017220 8663770 16034440 17327540 26857687 34655080 53715374 107430748 134288435 214861496 268576870 537153740 1074307480