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190428840 = 23335725189
BaseRepresentation
bin10110101100110…
…11011010101000
3111021022210021000
423112123122220
5342222210330
630521315000
74501422060
oct1326333250
9437283230
10190428840
1198546008
1253935a60
13305b59b4
141b4103a0
1511ab8560
hexb59b6a8

190428840 has 128 divisors (see below), whose sum is σ = 725472000. Its totient is φ = 43524864.

The previous prime is 190428829. The next prime is 190428851. The reversal of 190428840 is 48824091.

190428840 is a `hidden beast` number, since 190 + 428 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (190428829) and next prime (190428851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190428795 and 190428804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5035 + ... + 20154.

It is an arithmetic number, because the mean of its divisors is an integer number (5667750).

Almost surely, 2190428840 is an apocalyptic number.

190428840 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 190428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362736000).

190428840 is an abundant number, since it is smaller than the sum of its proper divisors (535043160).

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

190428840 is a wasteful number, since it uses less digits than its factorization.

190428840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25216 (or 25206 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 190428840 is about 13799.5956462499. The cubic root of 190428840 is about 575.3219016720.

The spelling of 190428840 in words is "one hundred ninety million, four hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 25189 50378 75567 100756 125945 151134 176323 201512 226701 251890 302268 352646 377835 453402 503780 528969 604536 680103 705292 755670 881615 906804 1007560 1057938 1133505 1360206 1410584 1511340 1586907 1763230 1813608 2115876 2267010 2644845 2720412 3022680 3173814 3400515 3526460 4231752 4534020 4760721 5289690 5440824 6347628 6801030 7052920 7934535 9068040 9521442 10579380 12695256 13602060 15869070 19042884 21158760 23803605 27204120 31738140 38085768 47607210 63476280 95214420 190428840