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114425520 = 24351189487
BaseRepresentation
bin1101101000111…
…11111010110000
321222022102022020
412310133322300
5213243104040
615204311440
72556413046
oct664377260
9258272266
10114425520
1159654650
12323a2580
131a924811
14112a8396
15a0a3cd0
hex6d1feb0

114425520 has 160 divisors (see below), whose sum is σ = 392117760. Its totient is φ = 27371520.

The previous prime is 114425513. The next prime is 114425527. The reversal of 114425520 is 25524411.

It is an interprime number because it is at equal distance from previous prime (114425513) and next prime (114425527).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114425527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234717 + ... + 235203.

It is an arithmetic number, because the mean of its divisors is an integer number (2450736).

Almost surely, 2114425520 is an apocalyptic number.

114425520 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 114425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196058880).

114425520 is an abundant number, since it is smaller than the sum of its proper divisors (277692240).

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

114425520 is a wasteful number, since it uses less digits than its factorization.

114425520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 114425520 is about 10696.9864915312. The cubic root of 114425520 is about 485.4833032561.

Adding to 114425520 its reverse (25524411), we get a palindrome (139949931).

The spelling of 114425520 in words is "one hundred fourteen million, four hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 89 110 120 132 165 176 178 220 240 264 267 330 356 440 445 487 528 534 660 712 880 890 974 979 1068 1320 1335 1424 1461 1780 1948 1958 2136 2435 2640 2670 2922 2937 3560 3896 3916 4272 4870 4895 5340 5357 5844 5874 7120 7305 7792 7832 9740 9790 10680 10714 11688 11748 14610 14685 15664 16071 19480 19580 21360 21428 23376 23496 26785 29220 29370 32142 38960 39160 42856 43343 46992 53570 58440 58740 64284 78320 80355 85712 86686 107140 116880 117480 128568 130029 160710 173372 214280 216715 234960 257136 260058 321420 346744 428560 433430 476773 520116 642840 650145 693488 866860 953546 1040232 1285680 1300290 1430319 1733720 1907092 2080464 2383865 2600580 2860638 3467440 3814184 4767730 5201160 5721276 7151595 7628368 9535460 10402320 11442552 14303190 19070920 22885104 28606380 38141840 57212760 114425520