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114570072 = 23331741761
BaseRepresentation
bin1101101010000…
…11001101011000
321222120202121000
412311003031120
5213312220242
615211345000
72560554351
oct665031530
9258522530
10114570072
1159743211
1232452160
131a975556
1411304d28
15a0d1a4c
hex6d43358

114570072 has 128 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 35020800.

The previous prime is 114570037. The next prime is 114570083. The reversal of 114570072 is 270075411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150172 + ... + 150932.

Almost surely, 2114570072 is an apocalyptic number.

114570072 is a gapful number since it is divisible by the number (12) 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 114570072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

114570072 is an abundant number, since it is smaller than the sum of its proper divisors (231073128).

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

114570072 is a wasteful number, since it uses less digits than its factorization.

114570072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 114570072 is about 10703.7410282574. The cubic root of 114570072 is about 485.6876517609.

It can be divided in two parts, 1145 and 70072, that added together give a palindrome (71217).

The spelling of 114570072 in words is "one hundred fourteen million, five hundred seventy thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 41 51 54 68 72 82 102 108 123 136 153 164 204 216 246 306 328 369 408 459 492 612 697 738 761 918 984 1107 1224 1394 1476 1522 1836 2091 2214 2283 2788 2952 3044 3672 4182 4428 4566 5576 6088 6273 6849 8364 8856 9132 12546 12937 13698 16728 18264 18819 20547 25092 25874 27396 31201 37638 38811 41094 50184 51748 54792 62402 75276 77622 82188 93603 103496 116433 124804 150552 155244 164376 187206 232866 249608 280809 310488 349299 374412 465732 530417 561618 698598 748824 842427 931464 1060834 1123236 1397196 1591251 1684854 2121668 2246472 2794392 3182502 3369708 4243336 4773753 6365004 6739416 9547506 12730008 14321259 19095012 28642518 38190024 57285036 114570072