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75114270 = 23357113613
BaseRepresentation
bin1000111101000…
…10011100011110
312020100012102000
410132202130132
5123212124040
611241543130
71601314020
oct436423436
9166305360
1075114270
1139444510
12211a4aa6
131273c61a
149d94010
1568db130
hex47a271e

75114270 has 128 divisors (see below), whose sum is σ = 249799680. Its totient is φ = 15603840.

The previous prime is 75114233. The next prime is 75114283. The reversal of 75114270 is 7241157.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18984 + ... + 22596.

It is an arithmetic number, because the mean of its divisors is an integer number (1951560).

Almost surely, 275114270 is an apocalyptic number.

75114270 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75114270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124899840).

75114270 is an abundant number, since it is smaller than the sum of its proper divisors (174685410).

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

75114270 is a wasteful number, since it uses less digits than its factorization.

75114270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3641 counting only the distinct ones).

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

The square root of 75114270 is about 8666.8489083403. The cubic root of 75114270 is about 421.9303996383.

It can be divided in two parts, 7511 and 4270, that added together give a triangular number (11781 = T153).

The spelling of 75114270 in words is "seventy-five million, one hundred fourteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 3613 4158 6930 7226 10395 10839 18065 20790 21678 25291 32517 36130 39743 50582 54195 65034 75873 79486 97551 108390 119229 126455 151746 162585 195102 198715 227619 238458 252910 278201 325170 357687 379365 397430 455238 487755 556402 596145 682857 715374 758730 834603 975510 1073061 1138095 1192290 1365714 1391005 1669206 1788435 2146122 2276190 2503809 2782010 3414285 3576870 4173015 5007618 5365305 6828570 7511427 8346030 10730610 12519045 15022854 25038090 37557135 75114270