Search a number
-
+
97379370 = 2325111931167
BaseRepresentation
bin1011100110111…
…10010000101010
320210020101101100
411303132100222
5144412114440
613355102230
72261465604
oct563362052
9223211340
1097379370
114aa71620
1228741976
1317236a3a
14cd0c174
158838230
hex5cde42a

97379370 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 21513600.

The previous prime is 97379357. The next prime is 97379423. The reversal of 97379370 is 7397379.

97379370 = T1 + T2 + ... + T835.

97379370 is a nontrivial binomial coefficient, being equal to C(837, 3).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is the 835-th tetrahedral number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583027 + ... + 583193.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 297379370 is an apocalyptic number.

97379370 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97379370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

97379370 is an abundant number, since it is smaller than the sum of its proper divisors (204536790).

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

97379370 is a wasteful number, since it uses less digits than its factorization.

97379370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 250047, while the sum is 45.

The square root of 97379370 is about 9868.0986010477. The cubic root of 97379370 is about 460.0683105862.

The spelling of 97379370 in words is "ninety-seven million, three hundred seventy-nine thousand, three hundred seventy".