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119385952 = 257373149
BaseRepresentation
bin1110001110110…
…10111101100000
322022122102201221
413013122331200
5221030322302
615502504424
72646523000
oct707327540
9268572657
10119385952
1161432484
1233b95114
131b97059a
1411bda000
15a733937
hex71daf60

119385952 has 96 divisors (see below), whose sum is σ = 279720000. Its totient is φ = 50125824.

The previous prime is 119385943. The next prime is 119385977. The reversal of 119385952 is 259583911.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 119385899 and 119385908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801174 + ... + 801322.

It is an arithmetic number, because the mean of its divisors is an integer number (2913750).

Almost surely, 2119385952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139860000).

119385952 is an abundant number, since it is smaller than the sum of its proper divisors (160334048).

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

119385952 is an equidigital number, since it uses as much as digits as its factorization.

119385952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its digits is 97200, while the sum is 43.

The square root of 119385952 is about 10926.3878752312. The cubic root of 119385952 is about 492.3996576391.

It can be divided in two parts, 1193859 and 52, that added together give a palindrome (1193911).

The spelling of 119385952 in words is "one hundred nineteen million, three hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 149 196 224 292 298 343 392 511 584 596 686 784 1022 1043 1168 1192 1372 1568 2044 2086 2336 2384 2744 3577 4088 4172 4768 5488 7154 7301 8176 8344 10877 10976 14308 14602 16352 16688 21754 25039 28616 29204 33376 43508 50078 51107 57232 58408 76139 87016 100156 102214 114464 116816 152278 174032 200312 204428 233632 304556 348064 400624 408856 532973 609112 801248 817712 1065946 1218224 1635424 2131892 2436448 3730811 4263784 7461622 8527568 14923244 17055136 29846488 59692976 119385952