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252716620 = 2251341151157
BaseRepresentation
bin11110001000000…
…10011001001100
3122121112100000211
433010002121030
51004143412440
641024332204
76156025102
oct1704023114
9577470024
10252716620
1111a719812
1270774064
1340484080
14257c5c72
15172bdeea
hexf10264c

252716620 has 96 divisors (see below), whose sum is σ = 593099136. Its totient is φ = 89856000.

The previous prime is 252716537. The next prime is 252716621. The reversal of 252716620 is 26617252.

252716620 = T166 + T167 + ... + T1149.

It is not an unprimeable number, because it can be changed into a prime (252716621) 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 31 ways as a sum of consecutive naturals, for example, 1609582 + ... + 1609738.

It is an arithmetic number, because the mean of its divisors is an integer number (6178116).

Almost surely, 2252716620 is an apocalyptic number.

252716620 is a gapful number since it is divisible by the number (20) 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 252716620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296549568).

252716620 is an abundant number, since it is smaller than the sum of its proper divisors (340382516).

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

252716620 is a wasteful number, since it uses less digits than its factorization.

252716620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 252716620 is about 15897.0632508020. The cubic root of 252716620 is about 632.2341271906.

The spelling of 252716620 in words is "two hundred fifty-two million, seven hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 151 157 164 205 260 302 314 410 533 604 628 755 785 820 1066 1510 1570 1963 2041 2132 2665 3020 3140 3926 4082 5330 6191 6437 7852 8164 9815 10205 10660 12382 12874 19630 20410 23707 24764 25748 30955 32185 39260 40820 47414 61910 64370 80483 83681 94828 118535 123820 128740 160966 167362 237070 308191 321932 334724 402415 418405 474140 616382 804830 836810 971987 1232764 1540955 1609660 1673620 1943974 3081910 3887948 4859935 6163820 9719870 12635831 19439740 25271662 50543324 63179155 126358310 252716620