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85691034 = 2371113137
BaseRepresentation
bin1010001101110…
…00101010011010
312222020120000000
411012320222122
5133414103114
612300353430
72060235042
oct506705232
9188216000
1085691034
1144408a40
1224845876
13149a3870
14b548722
1577c9e09
hex51b8a9a

85691034 has 128 divisors (see below), whose sum is σ = 228130560. Its totient is φ = 23794560.

The previous prime is 85691029. The next prime is 85691051. The reversal of 85691034 is 43019658.

It is a self number, because there is not a number n which added to its sum of digits gives 85691034.

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 63 ways as a sum of consecutive naturals, for example, 625414 + ... + 625550.

It is an arithmetic number, because the mean of its divisors is an integer number (1782270).

Almost surely, 285691034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85691034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114065280).

85691034 is an abundant number, since it is smaller than the sum of its proper divisors (142439526).

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

85691034 is a wasteful number, since it uses less digits than its factorization.

85691034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85691034 is about 9256.9451764608. The cubic root of 85691034 is about 440.8712660479.

The spelling of 85691034 in words is "eighty-five million, six hundred ninety-one thousand, thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 137 143 162 198 234 243 274 286 297 351 411 429 486 594 702 729 822 858 891 1053 1233 1287 1458 1507 1781 1782 2106 2187 2466 2574 2673 3014 3159 3562 3699 3861 4374 4521 5343 5346 6318 7398 7722 8019 9042 9477 10686 11097 11583 13563 16029 16038 18954 19591 22194 23166 24057 27126 28431 32058 33291 34749 39182 40689 48087 48114 56862 58773 66582 69498 81378 96174 99873 104247 117546 122067 144261 176319 199746 208494 244134 288522 299619 312741 352638 366201 432783 528957 599238 625482 732402 865566 1057914 1098603 1298349 1586871 2197206 2596698 3173742 3295809 3895047 4760613 6591618 7790094 9521226 14281839 28563678 42845517 85691034