Search a number
-
+
157522020 = 223571103359
BaseRepresentation
bin10010110001110…
…01100001100100
3101222101221120220
421120321201210
5310311201040
623344124340
73621625605
oct1130714144
9358357526
10157522020
1180a0a697
12449066b0
13268338c6
1416cc5dac
15dc682d0
hex9639864

157522020 has 96 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 40897920.

The previous prime is 157522019. The next prime is 157522021. The reversal of 157522020 is 20225751.

It is an interprime number because it is at equal distance from previous prime (157522019) and next prime (157522021).

It is not an unprimeable number, because it can be changed into a prime (157522021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438601 + ... + 438959.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2157522020 is an apocalyptic number.

157522020 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 157522020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

157522020 is an abundant number, since it is smaller than the sum of its proper divisors (295352220).

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

157522020 is a wasteful number, since it uses less digits than its factorization.

157522020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 157522020 is about 12550.7776651489. Note that the first 3 decimals coincide. The cubic root of 157522020 is about 540.0663155868.

Adding to 157522020 its reverse (20225751), we get a palindrome (177747771).

The spelling of 157522020 in words is "one hundred fifty-seven million, five hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 103 142 206 213 284 309 355 359 412 426 515 618 710 718 852 1030 1065 1077 1236 1420 1436 1545 1795 2060 2130 2154 3090 3590 4260 4308 5385 6180 7180 7313 10770 14626 21540 21939 25489 29252 36565 36977 43878 50978 73130 73954 76467 87756 101956 109695 110931 127445 146260 147908 152934 184885 219390 221862 254890 305868 369770 382335 438780 443724 509780 554655 739540 764670 1109310 1529340 2218620 2625367 5250734 7876101 10501468 13126835 15752202 26253670 31504404 39380505 52507340 78761010 157522020