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121575440 = 2457613559
BaseRepresentation
bin1110011111100…
…01100000010000
322110202200011002
413033301200100
5222110403230
620021441132
73004242230
oct717614020
9273680132
10121575440
1162698478
12348701a8
131c25903c
1412209cc0
15aa17545
hex73f1810

121575440 has 80 divisors (see below), whose sum is σ = 328431360. Its totient is φ = 40988160.

The previous prime is 121575427. The next prime is 121575463. The reversal of 121575440 is 44575121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1215754402 = 29561175222387200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32381 + ... + 35939.

It is an arithmetic number, because the mean of its divisors is an integer number (4105392).

Almost surely, 2121575440 is an apocalyptic number.

121575440 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 121575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164215680).

121575440 is an abundant number, since it is smaller than the sum of its proper divisors (206855920).

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

121575440 is a wasteful number, since it uses less digits than its factorization.

121575440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 121575440 is about 11026.1253393928. The cubic root of 121575440 is about 495.3915753400.

The spelling of 121575440 in words is "one hundred twenty-one million, five hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 3559 4270 4880 6832 7118 8540 14236 17080 17795 24913 28472 34160 35590 49826 56944 71180 99652 124565 142360 199304 217099 249130 284720 398608 434198 498260 868396 996520 1085495 1519693 1736792 1993040 2170990 3039386 3473584 4341980 6078772 7598465 8683960 12157544 15196930 17367920 24315088 30393860 60787720 121575440