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1381756506 = 231326189251
BaseRepresentation
bin101001001011011…
…1110111001011010
310120022000111120220
41102112332321122
510312212202011
6345035500510
746145510424
oct12226767132
93508014526
101381756506
11649a69129
123268b7736
13190361a00
14d1723814
158148e506
hex525bee5a

1381756506 has 96 divisors (see below), whose sum is σ = 3087927360. Its totient is φ = 411840000.

The previous prime is 1381756471. The next prime is 1381756547. The reversal of 1381756506 is 6056571831.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5504881 + ... + 5505131.

It is an arithmetic number, because the mean of its divisors is an integer number (32165910).

Almost surely, 21381756506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381756506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543963680).

1381756506 is an abundant number, since it is smaller than the sum of its proper divisors (1706170854).

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

1381756506 is a wasteful number, since it uses less digits than its factorization.

1381756506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1381756506 is about 37171.9854998358. The cubic root of 1381756506 is about 1113.8084440177.

The spelling of 1381756506 in words is "one billion, three hundred eighty-one million, seven hundred fifty-six thousand, five hundred six".

Divisors: 1 2 3 6 13 26 39 61 78 89 122 169 178 183 251 267 338 366 502 507 534 753 793 1014 1157 1506 1586 2314 2379 3263 3471 4758 5429 6526 6942 9789 10309 10858 15041 15311 16287 19578 20618 22339 30082 30622 30927 32574 42419 44678 45123 45933 61854 67017 70577 84838 90246 91866 127257 134034 141154 199043 211731 254514 290407 398086 423462 580814 597129 871221 917501 1194258 1362679 1742442 1835002 2587559 2725358 2752503 3775291 4088037 5175118 5505006 7550582 7762677 8176074 11325873 15525354 17714827 22651746 35429654 53144481 106288962 230292751 460585502 690878253 1381756506