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114549420 = 223529431531
BaseRepresentation
bin1101101001111…
…10001010101100
321222112201021010
412310332022230
5213311040140
615211105220
72560440216
oct664761254
9258481233
10114549420
1159729747
1232442210
131a96902b
14112db5b6
15a0ca880
hex6d3e2ac

114549420 has 96 divisors (see below), whose sum is σ = 339736320. Its totient is φ = 28788480.

The previous prime is 114549403. The next prime is 114549427. The reversal of 114549420 is 24945411.

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

It is not an unprimeable number, because it can be changed into a prime (114549427) 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, 74055 + ... + 75585.

It is an arithmetic number, because the mean of its divisors is an integer number (3538920).

Almost surely, 2114549420 is an apocalyptic number.

114549420 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 114549420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169868160).

114549420 is an abundant number, since it is smaller than the sum of its proper divisors (225186900).

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

114549420 is a wasteful number, since it uses less digits than its factorization.

114549420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 114549420 is about 10702.7762753409. The cubic root of 114549420 is about 485.6584672221.

The spelling of 114549420 in words is "one hundred fourteen million, five hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 43 58 60 86 87 116 129 145 172 174 215 258 290 348 430 435 516 580 645 860 870 1247 1290 1531 1740 2494 2580 3062 3741 4593 4988 6124 6235 7482 7655 9186 12470 14964 15310 18372 18705 22965 24940 30620 37410 44399 45930 65833 74820 88798 91860 131666 133197 177596 197499 221995 263332 266394 329165 394998 443990 532788 658330 665985 789996 887980 987495 1316660 1331970 1909157 1974990 2663940 3818314 3949980 5727471 7636628 9545785 11454942 19091570 22909884 28637355 38183140 57274710 114549420