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161011480 = 23572979251
BaseRepresentation
bin10011001100011…
…01011100011000
3102012222020020011
421212031130120
5312204331410
623551011304
73663401140
oct1146153430
9365866204
10161011480
1182983343
1245b09b34
1327485c86
1417553920
15e20718a
hex998d718

161011480 has 128 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 52416000.

The previous prime is 161011463. The next prime is 161011481. The reversal of 161011480 is 84110161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161011481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641355 + ... + 641605.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2161011480 is an apocalyptic number.

161011480 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 161011480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

161011480 is an abundant number, since it is smaller than the sum of its proper divisors (274444520).

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

161011480 is a wasteful number, since it uses less digits than its factorization.

161011480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 161011480 is about 12689.0299077589. The cubic root of 161011480 is about 544.0251123788.

The spelling of 161011480 in words is "one hundred sixty-one million, eleven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 79 116 140 145 158 203 232 251 280 290 316 395 406 502 553 580 632 790 812 1004 1015 1106 1160 1255 1580 1624 1757 2008 2030 2212 2291 2510 2765 3160 3514 4060 4424 4582 5020 5530 7028 7279 8120 8785 9164 10040 11060 11455 14056 14558 16037 17570 18328 19829 22120 22910 29116 32074 35140 36395 39658 45820 50953 58232 64148 70280 72790 79316 80185 91640 99145 101906 128296 138803 145580 158632 160370 198290 203812 254765 277606 291160 320740 396580 407624 509530 555212 575041 641480 694015 793160 1019060 1110424 1150082 1388030 2038120 2300164 2776060 2875205 4025287 4600328 5552120 5750410 8050574 11500820 16101148 20126435 23001640 32202296 40252870 80505740 161011480