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1561073416 = 2371747139251
BaseRepresentation
bin101110100001100…
…0001011100001000
311000210102202010221
41131003001130020
511144113322131
6414523115424
753453622310
oct13503013410
94023382127
101561073416
11731204621
12376972b74
131bb5569a6
1410b480440
15920b0411
hex5d0c1708

1561073416 has 128 divisors (see below), whose sum is σ = 3657830400. Its totient is φ = 609408000.

The previous prime is 1561073413. The next prime is 1561073429. The reversal of 1561073416 is 6143701651.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1561073413) 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, 6219291 + ... + 6219541.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 21561073416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561073416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1561073416 is an abundant number, since it is smaller than the sum of its proper divisors (2096756984).

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

1561073416 is a wasteful number, since it uses less digits than its factorization.

1561073416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1561073416 is about 39510.4216125315. The cubic root of 1561073416 is about 1160.0439479981.

The spelling of 1561073416 in words is "one billion, five hundred sixty-one million, seventy-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 139 188 238 251 278 329 376 476 502 556 658 799 952 973 1004 1112 1316 1598 1757 1946 2008 2363 2632 3196 3514 3892 4267 4726 5593 6392 6533 7028 7784 8534 9452 11186 11797 13066 14056 16541 17068 18904 22372 23594 26132 29869 33082 34136 34889 44744 45731 47188 52264 59738 66164 69778 82579 91462 94376 111061 119476 132328 139556 165158 182924 200549 222122 238952 244223 279112 330316 365848 401098 444244 488446 593113 660632 777427 802196 888488 976892 1186226 1403843 1554854 1604392 1639783 1953784 2372452 2807686 3109708 3279566 4151791 4744904 5615372 6219416 6559132 8303582 11230744 11478481 13118264 16607164 22956962 27876311 33214328 45913924 55752622 91827848 111505244 195134177 223010488 390268354 780536708 1561073416