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187420640 = 25511831283
BaseRepresentation
bin10110010101111…
…00111111100000
3111001122221210012
423022330333200
5340434430030
630333024052
74434022601
oct1312747740
9431587705
10187420640
11968809a0
1252925028
132caa16b4
141ac69da8
15116c2095
hexb2bcfe0

187420640 has 96 divisors (see below), whose sum is σ = 489234816. Its totient is φ = 67279360.

The previous prime is 187420633. The next prime is 187420669. The reversal of 187420640 is 46024781.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 187420597 and 187420606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145439 + ... + 146721.

It is an arithmetic number, because the mean of its divisors is an integer number (5096196).

Almost surely, 2187420640 is an apocalyptic number.

187420640 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 187420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244617408).

187420640 is an abundant number, since it is smaller than the sum of its proper divisors (301814176).

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

187420640 is a wasteful number, since it uses less digits than its factorization.

187420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 187420640 is about 13690.1658134589. The cubic root of 187420640 is about 572.2763591948.

The spelling of 187420640 in words is "one hundred eighty-seven million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 83 88 110 160 166 176 220 332 352 415 440 664 830 880 913 1283 1328 1660 1760 1826 2566 2656 3320 3652 4565 5132 6415 6640 7304 9130 10264 12830 13280 14113 14608 18260 20528 25660 28226 29216 36520 41056 51320 56452 70565 73040 102640 106489 112904 141130 146080 205280 212978 225808 282260 425956 451616 532445 564520 851912 1064890 1129040 1171379 1703824 2129780 2258080 2342758 3407648 4259560 4685516 5856895 8519120 9371032 11713790 17038240 18742064 23427580 37484128 46855160 93710320 187420640