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90606978 = 23372112283
BaseRepresentation
bin1010110011010…
…00110110000010
320022111022102000
411121220312002
5141143410403
612554004430
72150101200
oct531506602
9208438360
1090606978
1147166400
1226416716
1315a052c7
14c068070
157e4b7a3
hex5668d82

90606978 has 144 divisors (see below), whose sum is σ = 258360480. Its totient is φ = 23451120.

The previous prime is 90606961. The next prime is 90606979. The reversal of 90606978 is 87960609.

It is not an unprimeable number, because it can be changed into a prime (90606979) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320025 + ... + 320307.

It is an arithmetic number, because the mean of its divisors is an integer number (1794170).

Almost surely, 290606978 is an apocalyptic number.

90606978 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90606978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129180240).

90606978 is an abundant number, since it is smaller than the sum of its proper divisors (167753502).

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

90606978 is a wasteful number, since it uses less digits than its factorization.

90606978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 90606978 is about 9518.7697734529. The cubic root of 90606978 is about 449.1456679526.

The spelling of 90606978 in words is "ninety million, six hundred six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 121 126 147 154 189 198 231 242 283 294 297 363 378 441 462 539 566 594 693 726 847 849 882 1078 1089 1323 1386 1617 1694 1698 1981 2079 2178 2541 2547 2646 3113 3234 3267 3962 4158 4851 5082 5094 5929 5943 6226 6534 7623 7641 9339 9702 11858 11886 13867 14553 15246 15282 17787 17829 18678 21791 22869 27734 28017 29106 34243 35574 35658 41601 43582 45738 53361 53487 56034 65373 68486 83202 84051 102729 106722 106974 124803 130746 152537 160083 168102 196119 205458 239701 249606 305074 308187 320166 374409 392238 457611 479402 588357 616374 719103 748818 915222 924561 1176714 1372833 1438206 1677907 1849122 2157309 2745666 3355814 4118499 4314618 5033721 6471927 8236998 10067442 12943854 15101163 30202326 45303489 90606978