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103158420 = 223547157233
BaseRepresentation
bin1100010011000…
…01001010010100
321012002222202020
412021201022110
5202402032140
614123013140
72361555261
oct611411224
9235088666
10103158420
11532594a2
122a66a1b0
13184ab2b1
14d9b4268
1590ca6d0
hex6261294

103158420 has 96 divisors (see below), whose sum is σ = 298142208. Its totient is φ = 26637312.

The previous prime is 103158409. The next prime is 103158443. The reversal of 103158420 is 24851301.

It is a super-3 number, since 3×1031584203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 442624 + ... + 442856.

It is an arithmetic number, because the mean of its divisors is an integer number (3105648).

Almost surely, 2103158420 is an apocalyptic number.

103158420 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 103158420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149071104).

103158420 is an abundant number, since it is smaller than the sum of its proper divisors (194983788).

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

103158420 is a wasteful number, since it uses less digits than its factorization.

103158420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 103158420 is about 10156.6933595536. The cubic root of 103158420 is about 468.9950157301.

The spelling of 103158420 in words is "one hundred three million, one hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 157 188 233 235 282 314 466 470 471 564 628 699 705 785 932 940 942 1165 1398 1410 1570 1884 2330 2355 2796 2820 3140 3495 4660 4710 6990 7379 9420 10951 13980 14758 21902 22137 29516 32853 36581 36895 43804 44274 54755 65706 73162 73790 88548 109510 109743 110685 131412 146324 147580 164265 182905 219020 219486 221370 328530 365810 438972 442740 548715 657060 731620 1097430 1719307 2194860 3438614 5157921 6877228 8596535 10315842 17193070 20631684 25789605 34386140 51579210 103158420