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91393890 = 235731101139
BaseRepresentation
bin1010111001010…
…00111101100010
320100222021211220
411130220331202
5141344101030
613022515510
72156556330
oct534507542
9210867756
1091393890
1147653645
1226735b96
1315c1c533
14c1d0b50
158054a10
hex5728f62

91393890 has 128 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 19872000.

The previous prime is 91393871. The next prime is 91393903. The reversal of 91393890 is 9839319.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 657441 + ... + 657579.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 291393890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91393890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

91393890 is an abundant number, since it is smaller than the sum of its proper divisors (171815070).

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

91393890 is a wasteful number, since it uses less digits than its factorization.

91393890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 91393890 is about 9560.0151673520. The cubic root of 91393890 is about 450.4421826405.

The spelling of 91393890 in words is "ninety-one million, three hundred ninety-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 101 105 139 155 186 202 210 217 278 303 310 417 434 465 505 606 651 695 707 834 930 973 1010 1085 1302 1390 1414 1515 1946 2085 2121 2170 2919 3030 3131 3255 3535 4170 4242 4309 4865 5838 6262 6510 7070 8618 9393 9730 10605 12927 14039 14595 15655 18786 21210 21545 21917 25854 28078 29190 30163 31310 42117 43090 43834 46965 60326 64635 65751 70195 84234 90489 93930 98273 109585 129270 131502 140390 150815 180978 196546 210585 219170 294819 301630 328755 421170 435209 452445 491365 589638 657510 870418 904890 982730 1305627 1474095 2176045 2611254 2948190 3046463 4352090 6092926 6528135 9139389 13056270 15232315 18278778 30464630 45696945 91393890