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114605010 = 233513103317
BaseRepresentation
bin1101101010010…
…11101111010010
321222122112112000
412311023233102
5213314330020
615212214430
72561061252
oct665135722
9258575460
10114605010
1159767493
123246a416
131a988420
1411313962
15a0dc090
hex6d4bbd2

114605010 has 128 divisors (see below), whose sum is σ = 333365760. Its totient is φ = 27848448.

The previous prime is 114604999. The next prime is 114605039. The reversal of 114605010 is 10506411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361372 + ... + 361688.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 2114605010 is an apocalyptic number.

114605010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114605010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166682880).

114605010 is an abundant number, since it is smaller than the sum of its proper divisors (218760750).

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

114605010 is a wasteful number, since it uses less digits than its factorization.

114605010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114605010 is about 10705.3729500658. The cubic root of 114605010 is about 485.7370166904.

The spelling of 114605010 in words is "one hundred fourteen million, six hundred five thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 103 117 130 135 195 206 234 270 309 317 351 390 515 585 618 634 702 927 951 1030 1170 1339 1545 1585 1755 1854 1902 2678 2781 2853 3090 3170 3510 4017 4121 4635 4755 5562 5706 6695 8034 8242 8559 9270 9510 12051 12363 13390 13905 14265 17118 20085 20605 24102 24726 27810 28530 32651 36153 37089 40170 41210 42795 60255 61815 65302 72306 74178 85590 97953 111267 120510 123630 163255 180765 185445 195906 222534 293859 326510 361530 370890 424463 489765 556335 587718 848926 881577 979530 1112670 1273389 1469295 1763154 2122315 2546778 2938590 3820167 4244630 4407885 6366945 7640334 8815770 11460501 12733890 19100835 22921002 38201670 57302505 114605010