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114501240 = 23325726491
BaseRepresentation
bin1101101001100…
…10011001111000
321222110021011200
412310302121320
5213303014430
615210054200
72560146600
oct664623170
9258407150
10114501240
11596a6527
123241a360
131a950119
14112c7c00
15a0bb460
hex6d32678

114501240 has 144 divisors (see below), whose sum is σ = 432951480. Its totient is φ = 26167680.

The previous prime is 114501187. The next prime is 114501281. The reversal of 114501240 is 42105411.

It is a super-2 number, since 2×1145012402 = 26221067923075200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14395 + ... + 20885.

Almost surely, 2114501240 is an apocalyptic number.

114501240 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 114501240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216475740).

114501240 is an abundant number, since it is smaller than the sum of its proper divisors (318450240).

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

114501240 is a wasteful number, since it uses less digits than its factorization.

114501240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114501240 is about 10700.5252207544. The cubic root of 114501240 is about 485.5903676301.

Adding to 114501240 its reverse (42105411), we get a palindrome (156606651).

The spelling of 114501240 in words is "one hundred fourteen million, five hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 6491 8820 12982 17640 19473 25964 32455 38946 45437 51928 58419 64910 77892 90874 97365 116838 129820 136311 155784 181748 194730 227185 233676 259640 272622 292095 318059 363496 389460 408933 454370 467352 545244 584190 636118 681555 778920 817866 908740 954177 1090488 1168380 1272236 1363110 1590295 1635732 1817480 1908354 2044665 2336760 2544472 2726220 2862531 3180590 3271464 3816708 4089330 4770885 5452440 5725062 6361180 7633416 8178660 9541770 11450124 12722360 14312655 16357320 19083540 22900248 28625310 38167080 57250620 114501240