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114444480 = 2635971229
BaseRepresentation
bin1101101001001…
…00100011000000
321222100101022110
412310210203000
5213244210410
615204535320
72556522243
oct664444300
9258311273
10114444480
1159667917
12323b1540
131a930337
14112b125a
15a0a9720
hex6d248c0

114444480 has 112 divisors (see below), whose sum is σ = 367405920. Its totient is φ = 30179328.

The previous prime is 114444431. The next prime is 114444497. The reversal of 114444480 is 84444411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92506 + ... + 93734.

It is an arithmetic number, because the mean of its divisors is an integer number (3280410).

Almost surely, 2114444480 is an apocalyptic number.

114444480 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 114444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183702960).

114444480 is an abundant number, since it is smaller than the sum of its proper divisors (252961440).

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

114444480 is a wasteful number, since it uses less digits than its factorization.

114444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 114444480 is about 10697.8726857259. The cubic root of 114444480 is about 485.5101161998.

Adding to 114444480 its reverse (84444411), we get a palindrome (198888891).

The spelling of 114444480 in words is "one hundred fourteen million, four hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1229 1455 1552 1940 2328 2458 2910 3104 3687 3880 4656 4916 5820 6145 6208 7374 7760 9312 9832 11640 12290 14748 15520 18435 18624 19664 23280 24580 29496 31040 36870 39328 46560 49160 58992 73740 78656 93120 98320 117984 119213 147480 196640 235968 238426 294960 357639 393280 476852 589920 596065 715278 953704 1179840 1192130 1430556 1788195 1907408 2384260 2861112 3576390 3814816 4768520 5722224 7152780 7629632 9537040 11444448 14305560 19074080 22888896 28611120 38148160 57222240 114444480