Search a number
-
+
151603640 = 235311031187
BaseRepresentation
bin10010000100101…
…00100110111000
3101120021021002122
421002110212320
5302302304030
623013220412
73520416056
oct1102244670
9346237078
10151603640
1178638071
1242931708
1325540ac6
14161c51d6
15d4998e5
hex90949b8

151603640 has 64 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 58066560.

The previous prime is 151603591. The next prime is 151603643. The reversal of 151603640 is 46306151.

151603640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1516036402 = 45967327322499200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151603643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127127 + ... + 128313.

It is an arithmetic number, because the mean of its divisors is an integer number (5559840).

Almost surely, 2151603640 is an apocalyptic number.

151603640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151603640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

151603640 is an abundant number, since it is smaller than the sum of its proper divisors (204226120).

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

151603640 is a wasteful number, since it uses less digits than its factorization.

151603640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 151603640 is about 12312.7429925261. The cubic root of 151603640 is about 533.2160453891.

Adding to 151603640 its reverse (46306151), we get a palindrome (197909791).

The spelling of 151603640 in words is "one hundred fifty-one million, six hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 103 124 155 206 248 310 412 515 620 824 1030 1187 1240 2060 2374 3193 4120 4748 5935 6386 9496 11870 12772 15965 23740 25544 31930 36797 47480 63860 73594 122261 127720 147188 183985 244522 294376 367970 489044 611305 735940 978088 1222610 1471880 2445220 3790091 4890440 7580182 15160364 18950455 30320728 37900910 75801820 151603640