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114121620 = 223253971597
BaseRepresentation
bin1101100110101…
…01101110010100
321221201222102200
412303111232110
5213203342440
615154004500
72554006044
oct663255624
9257658380
10114121620
1159467298
1232276730
131a8493b2
1411229724
15a043c30
hex6cd5b94

114121620 has 72 divisors (see below), whose sum is σ = 347258184. Its totient is φ = 30336768.

The previous prime is 114121591. The next prime is 114121627. The reversal of 114121620 is 26121411.

114121620 is a `hidden beast` number, since 1 + 1 + 41 + 2 + 1 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6874884 + 107246736 = 2622^2 + 10356^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114121593 and 114121602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114121627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70662 + ... + 72258.

Almost surely, 2114121620 is an apocalyptic number.

114121620 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 114121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173629092).

114121620 is an abundant number, since it is smaller than the sum of its proper divisors (233136564).

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

114121620 is a wasteful number, since it uses less digits than its factorization.

114121620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 114121620 is about 10682.7721121439. The cubic root of 114121620 is about 485.0531277047.

The spelling of 114121620 in words is "one hundred fourteen million, one hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1597 1985 2382 3194 3573 3970 4764 4791 5955 6388 7146 7940 7985 9582 11910 14292 14373 15970 17865 19164 23820 23955 28746 31940 35730 47910 57492 71460 71865 95820 143730 287460 634009 1268018 1902027 2536036 3170045 3804054 5706081 6340090 7608108 9510135 11412162 12680180 19020270 22824324 28530405 38040540 57060810 114121620