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190400417380 = 225109193452537
BaseRepresentation
bin1011000101010010111…
…1111100111001100100
3200012110022222100202101
42301110233330321210
511104420001324010
6223245125421444
716520204562445
oct2612457747144
9605408870671
10190400417380
1173826087748
1230a9886a884
1314c5458b284
1493031d12cc
154e4580d73a
hex2c54bfce64

190400417380 has 48 divisors (see below), whose sum is σ = 405600758640. Its totient is φ = 75070291968.

The previous prime is 190400417351. The next prime is 190400417387. The reversal of 190400417380 is 83714004091.

It can be written as a sum of positive squares in 8 ways, for example, as 785456676 + 189614960704 = 28026^2 + 435448^2 .

It is not an unprimeable number, because it can be changed into a prime (190400417387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194472 + ... + 647008.

It is an arithmetic number, because the mean of its divisors is an integer number (8450015805).

Almost surely, 2190400417380 is an apocalyptic number.

190400417380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190400417380 is an abundant number, since it is smaller than the sum of its proper divisors (215200341260).

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

190400417380 is a wasteful number, since it uses less digits than its factorization.

190400417380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452848 (or 452846 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 190400417380 in words is "one hundred ninety billion, four hundred million, four hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 109 193 218 386 436 545 772 965 1090 1930 2180 3860 21037 42074 84148 105185 210370 420740 452537 905074 1810148 2262685 4525370 9050740 49326533 87339641 98653066 174679282 197306132 246632665 349358564 436698205 493265330 873396410 986530660 1746792820 9520020869 19040041738 38080083476 47600104345 95200208690 190400417380