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114635620 = 225113714083
BaseRepresentation
bin1101101010100…
…11001101100100
321222201002111201
412311103031210
5213321314440
615213012244
72561246431
oct665231544
9258632451
10114635620
1159788490
1232484084
131a999338
1411320b88
15a0e619a
hex6d53364

114635620 has 48 divisors (see below), whose sum is σ = 269736768. Its totient is φ = 40556160.

The previous prime is 114635617. The next prime is 114635629. The reversal of 114635620 is 26536411.

It is not an unprimeable number, because it can be changed into a prime (114635629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099 + ... + 15181.

It is an arithmetic number, because the mean of its divisors is an integer number (5619516).

Almost surely, 2114635620 is an apocalyptic number.

114635620 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 114635620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134868384).

114635620 is an abundant number, since it is smaller than the sum of its proper divisors (155101148).

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

114635620 is a wasteful number, since it uses less digits than its factorization.

114635620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140 (or 14138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 114635620 is about 10706.8025105537. The cubic root of 114635620 is about 485.7802582163.

The spelling of 114635620 in words is "one hundred fourteen million, six hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 14083 28166 56332 70415 140830 154913 281660 309826 521071 619652 774565 1042142 1549130 2084284 2605355 3098260 5210710 5731781 10421420 11463562 22927124 28658905 57317810 114635620