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146119420 = 22517716053
BaseRepresentation
bin10001011010110…
…01101011111100
3101011221122011101
420231121223330
5244401310140
622255502444
73422665066
oct1055315374
9334848141
10146119420
1175531757
1240b27a24
13243707c5
1415598736
15cc6499a
hex8b59afc

146119420 has 48 divisors (see below), whose sum is σ = 329531328. Its totient is φ = 54225920.

The previous prime is 146119397. The next prime is 146119447. The reversal of 146119420 is 24911641.

It is a super-2 number, since 2×1461194202 = 42701769802272800, which contains 22 as substring.

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, 21114 + ... + 27166.

It is an arithmetic number, because the mean of its divisors is an integer number (6865236).

Almost surely, 2146119420 is an apocalyptic number.

146119420 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 146119420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164765664).

146119420 is an abundant number, since it is smaller than the sum of its proper divisors (183411908).

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

146119420 is a wasteful number, since it uses less digits than its factorization.

146119420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 146119420 is about 12087.9865982719. The cubic root of 146119420 is about 526.7072704546.

The spelling of 146119420 in words is "one hundred forty-six million, one hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 6053 12070 12106 24140 24212 30265 60530 102901 121060 205802 411604 429763 514505 859526 1029010 1719052 2058020 2148815 4297630 7305971 8595260 14611942 29223884 36529855 73059710 146119420