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30278040 = 23351321493
BaseRepresentation
bin111001110000…
…0000110011000
32002222021122220
41303200012120
530222344130
63000544040
7515234112
oct163400630
962867586
1030278040
1116100381
12a182020
136371700
1440423b2
1529d1410
hex1ce0198

30278040 has 96 divisors (see below), whose sum is σ = 98424720. Its totient is φ = 7448064.

The previous prime is 30277981. The next prime is 30278057. The reversal of 30278040 is 4087203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30278040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19534 + ... + 21026.

Almost surely, 230278040 is an apocalyptic number.

30278040 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 30278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49212360).

30278040 is an abundant number, since it is smaller than the sum of its proper divisors (68146680).

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

30278040 is a wasteful number, since it uses less digits than its factorization.

30278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30278040 is about 5502.5485004678. The cubic root of 30278040 is about 311.6802279298.

The spelling of 30278040 in words is "thirty million, two hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1493 1560 1690 2028 2535 2986 3380 4056 4479 5070 5972 6760 7465 8958 10140 11944 14930 17916 19409 20280 22395 29860 35832 38818 44790 58227 59720 77636 89580 97045 116454 155272 179160 194090 232908 252317 291135 388180 465816 504634 582270 756951 776360 1009268 1164540 1261585 1513902 2018536 2329080 2523170 3027804 3784755 5046340 6055608 7569510 10092680 15139020 30278040