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30455640 = 23325312729
BaseRepresentation
bin111010000101…
…1011101011000
32010022022021200
41310023131120
530244040030
63004434200
7516603645
oct164133530
963268250
1030455640
1116211856
12a248960
1364044b7
14408adcc
152a18d60
hex1d0b758

30455640 has 96 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 7856640.

The previous prime is 30455639. The next prime is 30455669. The reversal of 30455640 is 4655403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9796 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 230455640 is an apocalyptic number.

30455640 is a gapful number since it is divisible by the number (30) 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 30455640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

30455640 is an abundant number, since it is smaller than the sum of its proper divisors (71755560).

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

30455640 is a wasteful number, since it uses less digits than its factorization.

30455640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 30455640 is about 5518.6628815321. The cubic root of 30455640 is about 312.2884413430.

The spelling of 30455640 in words is "thirty million, four hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2729 2790 3720 5458 5580 8187 10916 11160 13645 16374 21832 24561 27290 32748 40935 49122 54580 65496 81870 84599 98244 109160 122805 163740 169198 196488 245610 253797 327480 338396 422995 491220 507594 676792 761391 845990 982440 1015188 1268985 1522782 1691980 2030376 2537970 3045564 3383960 3806955 5075940 6091128 7613910 10151880 15227820 30455640